# Researched Papers

papers in reacent 3 years

1. Geometric bounds for the number of certain harmonic mappings
Springer Lecture Notes in Mathematics 1090(1984), 24-36
2. Energy spectrum of certain harmonic mappings
Compositio Math. 56(1985), 153-170(no.2)
MathReview

3. Markov families for Anosov flows with an involutive action
Nagoya Mathematical Journal 104(1986), 55-62. [88b:58108]
4. Twisted Perron-Frobenius theorem and L-functions
Journal of Functional Analysis 71(1987), 1-46(no.1). [88j:58101]
5. Homology of closed geodesics in a negatively curvaed manifold
Journal of Differential Geometry 26(1987), 81-96(no.1). [88g:58149]
6. Closed orbits of an Anosov flow and the fundamental group
Proceedings of American Mathematical Society 100(1987), 595-598(no.3). [88j:58094]
7. Distribution of closed geodesics with a preassigned homology class in a negatively curved manifold
Nagoya Mathematical Journal 110(1988),1-14. [89k:58061]
8. Meromorphic extension of L-functions of Anosov flows and profinite graphs
Kumamoto Journal of Mathematics 1(1988), 9-24. [89j:58105]
MathReview   Article   Journal
9. Spherical mean and the fundamental group
10. The Euclidean factor of a Hadamard manifold
Proceedings of American Mathematical Society 113(1991), 209-213(no.1). [91k:53044]
(with Fumiko OHTSUKA)
11. A note on F{\phi}lner condition for amenability
Nagoya Mathematical Journal of Mathematics 131(1993), 67-74
12. Density of states in spectral geometry
Commentarii Mathematici Helvetici 68(1993), 480-493(no.3)
13. K\"ahler magnetic fields on a complex projective space
Proceedings of the Japan Academy of Sciences 79, Ser.A(1994), 12-13(no.1)
14. Ideal boundary of complete metric space
Kumamoto Journal of Mathematics 7(1994), 51-59
MathReview
Article
15. On the regular representation of a group applied to the spectrum of a tower
Analyse algebraique des perturbations singulieres II, Methodes differentialles
L.B. Monvel ed. 125-133, Hermann, Paris 1994
(with Polly Wee Sy and Toshikazu SUNADA)
16. On the spectrum of periodic Schr\"odinger operators and a tower of coverings
Bulletin of the London Mathematical Society 27(1995), 173-176(no.2)
17. Magnetic flows for a surface of negative curvature
Bulletin of Nagoya Institute of Technology 47(1995), 161-170
18. Circles in a complex projective space
Osaka Journal of Mathematics 32(1995), 709-719(no.3)
(with Sadahiro MAEDA and Seiichi UDAGAWA)
19. K\"ahler magnetic flows for a manifold of constant holomorphic sectional curvature
Tokyo Journal of Mathematics 18(1995), 473-483(no.2)
20. Circles on quaternionic space forms
Journal of the Mathematical Society of Japan 48(1996), 205-227(no.2)

21. Curvature bounds and trajectories for magnetic fields on a Hadamard surface
Tsukuba Journal of Mathematics 20(1996), 225-230(no.1)
22. Holomorphic herices in a complex space form

Proceedings of the American Mathematical Society 125(1997), 1197-1202(no.4)
23. Global behaviours of circles in a complex hyperbolic space
Tsukuba Journal of Mathematics 21(1997), 29-42(no.1)
24. A comparison theorem for magnetic Jacobi fields
Proceedings of the Edinburgh Mathematical Society 40(1997), 293-308(no.2)
25. Extrinsic shape of circles and standard imbeddings of projective spaces
manuscripta mathematica 93(1997), 267-272(no.2)
(with Sadahiro MAEDA and Kouichi OGIUE)
26. Extrinsic shape of circles and standard imbeddings of a Cayley projective plane
Hokkaido Mathematical Journal 16(1997), 411-419(no.2)
(with Sadahiro MAEDA and Kouichi OGIUE)
27. Length spectrum of circles in a complex projective space
Osaka Journal of Mathematics 35(1998), 553-565(no.3).
28. A construction of closed helices with self-intersections in a complex projective space by using submanifold theory
Hokkaido Mathematical Journal 28(1999), 133-145(no.1).
29. Distribution of length spectrum of circles on a complex hyperbolic space
Nagoya Mathematical Journal 153(1999), 119-140.
30. Circular helices in a standard sphere
New Zealand Journal of Mathematics 28(1999), 1-6(no.1,June)
31. A characterization of all homogeneous real hypersurfaces in a complex projective space
Archiv der Mathematik 73(1999), 303-310 (no.4)
(with Makoto KIMURA and Sadahiro MAEDA)
32. Asymptotic behaviour of length spectrum of circles on non-flat complex space form
Proceedings of the Japan Academy of Sciences 76 Series A(2000), 60-66(no.6)
33. Simpleness and closedness of circles in compact Hermitian symmetric spaces
Tsukuba Journal of Mathematics 24(2000), 1-13(no.1,June)
(with Sadahiro MAEDA and Seiichi UDAGAWA)
34. Space forms from the viewpoint of their geodesic spheres
Bulletin of the Australian Mathematical Society 62(2000), 205-210(no. 2, Nov.)
35. Some characterizations of quaternionic space forms
Proceedings of the Japan Academy of Sciences 76 Series A(2000), 168-172(no.10)
36. Curvature-adapted real hypersurfaces in quaternionic space forms
Kodai Mathematical Journal 24(2001), 98-119(no. 1)
37. Length spectrum of geodesic spheres in rank one symmetric spaces
38. A characterizatoion of the second Veronese embedding into a complex projective space
Proceedings of the Japan Academy of Sciences 77 Series A(2001), 99-102(no.7, Sep.)
39. Length spectrum of geodesic spheres in a non-flat complex space form
Journal of the Mathematical Society of Japan 54(2002), 373-408(no. 2, April)
(with Sadahiro MAEDA and Masakazu Yamagishi)
40. Characterization of totally geodesic K\"ahler immersions [ctgki]
Hokkaido Mathematical Journal 91(2002), 629-641 (no. 3)
(with Kaoru SUIZU*, Sadahiro MAEDA #)

41. A characterizatoion of the Veronese imbedding into a complex projective space

Mathematical Reports of the Academy of Sciece of the Royal Society of Canada 24(2002), 61--66 (no.2)
(Comptes rendus math\'ematiques de l'Acad\'emie des sciences dela Soci\'et\'e royale du Canada)
(with Kaoru SUIZU*, Sadahiro MAEDA #)
MathReview   Article   Journal
42. Characterizations of space forms by circles on their geodesic spheres [cscg]
Proceedings of the Japan Academy of Sciences 78 Series A(2002), 143-147(no. 7)
43. Quaternionic distribution of curvature-adapted real hypersurfaces in a quaternionic hyperbolic space
Journal of Geometry 75(2002), 1--14 (no.1)
44. Lamination of the moduli space of circles and their length spectrum for a non-flat complex space form
Osaka Journal of Mathematics 40(2003), 895--916(no.4)
45. Characterization of complex space forms in terms of geodesics on their geodesic spheres
Nihonkai Journal of Mathematics 14(2003), 95 -- 98 (no.2)
46. Geometry of ordinary helices in a complex projective space
Hokkaido Mathematical Journal 33(2004), 233--246 (no. 1)
(with Sadahiro MAEDA and Seiichi UDAGAWA)
47. Congruence theorem of geodesics on some naturally reductive Riemannian homogeneous manifolds
Mathematical Reports of the Academy of Science of the Royal Society of Canada 26(2004), 11--17 (no. 1)
(Comptes rendus math\'ematiques de l'Acad\'emie des sciences dela Soci\'et\'e royale du Canada)
MathReview   Article   Journal
48. Shape orerators and structure tensors of real hypersurfaces in nonflat quaternionic space forms @@[sostq]
Bulletin of the Polish Academy of Sciences Mathematics 52(2004), 319--328 (no. 3)
49. Kaehler magnetic flows for a product of complex space forms
Topology and its Application 146-147(2005), 329--338: (Topology in Matsue 2002)
50. Holomorphic helix of proper order 3 on a complex hyperbolic plane
Topology and its application 146-147(2005), 201--207: (Topology in Matsue 2002)
51. Characterization of totally umbilic hypersurfaces in a space form by circles@[ctuhc]
Czechoslovak Mathematical Journal 55(2005), 203--207 (no. 1)
52. Real hypersurfaces some of whose geodesics are plane curves in nonflat complex space form@[rhgpc]
Tohoku Mathematical Journal 57(2005), 223--230 (no. 2)
(with Makoto KIMURA and Sadahiro MAEDA)
53. Ruled real hypersurface in a quaternionic space form
Monatshefte f\"ur Mathematik 145(2005), 179--190 (no.3)
@   (with Sadahiro MAEDA and Seiichi Udagawa)
54. A comparison theorem on crescents for K\"ahler magnetic fields
Tokyo Journal of Mathematics 28(2005), 289--298 (no. 1)
55. A comparison theorem on sectors for K\"ahler magnetic fields@[ctsk]
Proceedings of the Japan Academy of Sciences 81 Series A(2005), 110--114 (no.6)
56. Magnetic mean operators on a K\"ahler manifold @[mmo]
57. Projective B\'ezier curves of order 2 on real space forms@[pbcrs]
Contemporary aspects of complex analysis, differential geometry and mathematical physics,
Stancho Dimiev and Kouei Sekigawa eds.,
World Scientific, Singapore, New Jersey, London, Hong Kong,
2005, 120--131 [WS-book]
(with Sho KAWABATA*)
58. Speed and acceleration of projective Bezier curves of order $2$ on real space forms@[sapb]
Contemporary aspects of complex analysis, differential geometry and mathematical physics,
Stancho Dimiev and Kouei Sekigawa eds.,
World Scientific, Singapore, New Jersey, London, Hong Kong,
2005, 244--256 [WS-book]
(with Takeshi NONOGAKI*)
59. Complex space forms and geodesics on their geodesic spheres [cfgg]
Far East Journal Math.(FJMS) 18(2005), 277--284 (no. 3)
60. Killing helices on a symmetric space of rank one @@[khss]
Journal of Geometry 84(2005), 1--12 (no. 1)

61. Rank of a Hermitian symmetric space of noncompact type and K\"ahler magnetic fields

Hokkaido Mathematical Journal 35(2006), 851--868 (no. 4)
62. Logarithmic derivatives of geodesic curvature for smooth curves and isotropic immersions [ldis]
Far East Journal of Mathematical Sciences 23(2006), 181--192 (no.2)
63. Isoparametric hypersurfaces with less than 4 principal curvatures in a sphere @[ihs]
Colloquium Mathematicum 105(2006), 143--148 (no. 1).
64. Integral curves of the characteristic vector field of real hypersurfaces in nonflat complex space forms @[iccv]
Geomtriae Dedicata 123(2006), 65--72
65. Totally umbilic isometric immersions and curves of order two@[tuic]
Monatshefte f\"ur Mathematik 150(2007), 73--81 (no.1)
66. Characteristic vector fields on geodesic spheres in a complex space forms [cvgs]
Bulletin of the Calcutta Mathematical Society 99(2007), 411--414 (no. 4)
67. Geodesic spheres in a nonflat complex space form and their integral curves of the characteristic vector fields [gsci]
Hokkaido Mathematical Journal 36(2007), 353--363 (no. 2)
(with Young Ho Kim and Sadahiro MAEDA*)
68. Schur's lemma for K\"ahler manifolds@[slkm]
Archiv der Mathematik 90(2008), 163--172 (no.2)
(with Sadahiro MAEDA and Seiichi UDAGAWA)
69. Trajectories on geodesic spheres in a non-flat complex space form [tgcs]
Journal of Geometry 90(2008), 1--29 (no. 1--2)
70. Geodesics on real hypersurfaces of type A2 in a complex space form, [gha2]
Monatshefte f\"ur Mathematik 153(2008), 283--293 (no. 4)
71. Characterizations of hypersurfaces of type A_2 in a complex projective space [ca2p]
Bulletin of the Australian Mathematical Society 77(2008), 1--8 (no. 1)
72. A characterization of isotropic immersions by extrinsic shapes of smooth curves [ciec]
Differential Geometry and its Applications 26(2008), 307--312 (no.3)
73. Curvature logarithmic derivatives of curves and isometric immersions [cldi]
Differential Geometry and its Applications, Proceedings of the 10th International Conference on DGA2007
O. Kowalski et al Ed.
World Scientific, Singapore, New Jersey, London, Hong Kong, 2008, 13--21 [WS-book]

74. Extrinsic geodesics and hypersurfaces of type A in a complex projective space [eghp]
T\^ohoku Journal of Mathematics 60(2008), 597--605 (no. 4)
MathReview   Article (Open Access)

75. A characterization of the homogeneous ruled real hypersurface in a complex hyperbolic space@[chrrh]
Journal of the Mathematical Society of Japan 61(2009), 315--325 (no.1)
(with Young Ho Kim and Sadahiro Maeda*)
76. Foliation on the moduli space of helices on a real space form [fmhs]
International Mathematical Forum 4(2009), 1699--1707 (no.35)
77. A discrete model for K\"ahler magnetic fields on a complex hyperbolic space
Trends in Differential Geometry, Complex Analysis and Mathematical Physics
Kouei Sekigawa, Vladimir S. Gerdjikov and Stancho Dimiev eds.,
World Scientific, Singapore, New Jersey, London, Hong Kong,
2009, 1--9. [WS-book]
78. Dirichlet property for tessellations of tiling-type 4 on a plane by congruent pentagons, [dtpp]
Trends in Differential Geometry, Complex Analysis and Mathematical Physics
Kouei Sekigawa, Vladimir S. Gerdjikov and Stancho Dimiev eds.,
World Scientific, Singapore, New Jersey, London, Hong Kong,
2009, 219--230.@@@
(with Yusuke TAKEO*)
79. Sasakian curves on hypersurfaces of type (A) in a nonflat complex space form, [scha]
Results in Mathematics 56(2009), 489--499 (no. )
80. Dirichlet tessellations of a plane by congruent quadrangles [dtcq]
New Zealand Journal of Mathematics 39(2009), 79--101 on line journal
(with Yusuke TAKEO*)
81. Circular trajectories on real hypersurfaces in a nonflat complex space form, [cthc]
Journal of Geometry 96(2009), 41--55
(with Bao Tuya*)
Kodai Mathematical Journal 33(2010), 383--397 (no.3 october)
83. Moderate Killing helices of proper order four on a complex projective space [mkh4]
Tokyo Journal of Mathematics 33(2010), 435--452 (no. 2)
84. Real hypersurfaces which are contact in a nonflat complex space form, [rhcc]
Hokkaido Mathathematical Journal 40(2011), 207--219
85. Lengths of circular trajectories on geodesic spheres in a complex projective space, [lctp]
Kodai Mathematical Journal 34(2011), 257--271 (no.2)
(with Bao Tuya*)
86. Trajectories for Sasakian magnetic fields on homogeneous real hypersurfaces of type (B) in a complex hyperbolic space, [thBh]
Differential Geometry and its Applications 29(2011) sup1, S28--S32
(with Bao Tuya*)
87. Magnetic Jacobi fields for K\"ahler magnetic fields [mjfk]
Recent Progress in Differential Geometry and its Related Fields,
T. Adachi, H. Hashimoto and M. Hristov eds., World Scientific, Singapole 41--53, 2011
88. Behavior of circular trajectories on hypersurfaces of type (A_1) in a complex hyperbolic space, [bcth]
Kodai Mathematical Journal 34(2011), 485--504 (no. 3)
(with Bao Tuya*)
89. Kershner's tilings of type 6 by congruent pentagons are not Dirichlet [ktpd]
Recent Progress in Differential Geometry and its Related Fields,
T. Adachi, H. Hashimoto and M. Hristov eds., World Scientific, Singapole (2011), 109--117
(with Atsushi KUBOTA*)
90. Essential Killing helices of order less than five on a non-flat complex space form, [ekh4]
91. A theorem of Hadamard-Cartan type for K\"ahler magnetic fields, [tHCk]
Journal of Mathematical Society of Japan 64(2012), 969--984 (no. 3)
93. Characterizations of geodesic hyperspheres in a nonflat complex space form [cgsf]
Glasgow Mathematical Journal 55(2013), 217--227 (no. 1)
(with Sadahiro MAEDA* and Young Ho KIM)
94. An estimate of the spread of trajectories for K\"ahler magnetic fields [estk]
Hokkaido Mathathematical Journal 42(2013), 445--462 (no. 3)
(with Pengfei BAI*)
95. Dynamical syatematic aspect on horocyclic circles in a complex hyperbolic space [dhch-WS]
Prospects of Differential Geometry and its Related Fields,
T. Adachi, H. Hashimoto and M. Hristov eds., World Scientific, Singapole 99--114 (2013)
96. Extrinsic circular trajectories on geodesic spheres in a complex projective space [saga60_WS]
Differential Geometry of Submanifolds and its Related Topics ,
S. Maeda, Y. Ohnita and Q.-M. Cheng eds, World Scientific, Singapole 44--59 (2013)
97. Congruence classes of minimal ruled real hypersurfaces in a complex space form [mrhc]
Hokkaido Journal of Mathematics 43(2014), 137--150 (no. 1)
(with Tuya BAO and Sadahiro MAEDA)
98. Volumes of trajectory-balls for K\"ahler magnetic fields, [vtbk]
Journal of Goeometry 105(2014), 369--389 (no.2: Aug.)
(with Pengfei BAI)
99. A comparison theorem on harp-sectors for K\"ahler magnetic fields [cths]
Southeast Asian Bulletin of Mathematics 38 (2014), 619--626 (no. 5: Oct).
MathReview   Article   Journal
(with Yaermaimaiti TUERXUNMAIMAITI *)
Applied Mathematics & Information Sciences 9(2015), 2767--2773 (no.6: Nov)
101. Isospectral K\"ahler graphs [isKg]
(with Yaermaimaiti TUERXUNMAIMAITI *)
Kodai Mathematical Journal 38(2015), 560--580 (no. 3: Oct)
102. Laplacians for finite regular K\"ahler graphs and for their dual graphs [aLrK]
Current Developments in Differential Geometry and its Related Fields
T. Adachi, H. Hashimoto and M. Hristov eds., World Scientific, Singapole, 23--44 (2015)
103. Foliation on the moduli space of extrinsic circular trajectories on a complex hyperbolic space [matsue2013=fmcS]
Topology and its Applications 196 (2015), 311--324 (Part B: Dec)
104. Laplacians for derived graphs of regular K\"ahler graphs [LdgK]
(with Yaermaimaiti TUERXUNMAIMAITI *)
Comptes Rendus Math\'ematiques de l'Academie des Sciences La Soci\'et\'e royale du Canada,
Mathematical Reports of the Academy of Science The Royal Society of Canada 37 (2015), 141--156 (no. 4, Dec.)
105. An estimate on volumes of trajectory-balls for K\"ahler magnetic fields [evtb]
(with Qingsong SHI *)
Proceedings of Japan Academy of Sciences 92 Ser. A (2016), 47--50 (no. 4, April)
106. Characterizations of some homogeneous Hopf real hypersurfaces in a nonflat complex space form by extrinsic shapes of trajectories [cshe]
(with Tuya BAO*)
Differential Geometry and its Applications 48 (2016), 104--118
107. A note on vertex-transitive K\"ahler graphs [vtKg]
(with Yaermaimaiti TUERXUNMAIMAITI *)
Hokkaido Mathematical Journal 45 (2016), 419--433 (no.3, Oct.),
108. Extrinsic circular trajectories on totally eta-umbilic real hypersurfaces in a complex hyperbolic space [ecth]
(with Tuya BAO*)
Kodai Mathematical Journal 39 (2016), 615--631 (no. 3, Oct.).
109. Trajectory-harps and horns applied to the study of the ideal boundary of a Hadamard K\"ahler manifold [thbH]
(with Qingsong SHI *)
to appear in Tokyo Journal of Mathematics
110. Trajectories on real hypersurfaces of type A_2 which can be seen as circles in a complex hyperbolic space [morroco]
to appear in Note di Matematica
111. Extrinsic circular trajectories on geodesic spheres in a complex projective space [ecgp]
(with Tuya BAO*)
to appear in Osaka Journal of Mathematics