Researched Papers

1. Geometric bounds for the number of certain harmonic mappings
2. Energy spectrum of certain harmonic mappings
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
5. Homology of closed geodesics in a negatively curved manifold
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
Canadian Mathematical Bulletin 34(1991), 3-11(no.1)[92f:58182]
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)
  (with Toshikazu SUNADA)

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   Journal
15. On the regular representation of a group applied to the spectrum of a tower
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)

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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

23. Global behaviours of circles in a complex hyperbolic space
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
26. Extrinsic shape of circles and standard imbeddings of a Cayley projective plane
27. Length spectrum of circles in a complex projective space
28. A construction of closed helices with self-intersections in a complex projective space by using submanifold theory
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
31. A characterization of all homogeneous real hypersurfaces in a complex projective space
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.)
  (with Sadahiro MAEDA)

35. Some characterizations of quaternionic space forms

Proceedings of the Japan Academy of Sciences 76 Series A(2000), 168-172(no.10)
  (with Sadahiro MAEDA)

36. Curvature-adapted real hypersurfaces in quaternionic space forms

Kodai Mathematical Journal 24(2001), 98-119(no. 1)
  (with Sadahiro MAEDA)

37. Length spectrum of geodesic spheres in rank one symmetric spaces
38. A characterizatoion of the second Veronese embedding into a complex projective space
39. Length spectrum of geodesic spheres in a non-flat complex space form
40. Characterization of totally geodesic K\"ahler immersions [ctgki]
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41. A characterizatoion of the Veronese imbedding into a complex projective space

42. Characterizations of space forms by circles on their geodesic spheres [cscg]
43. Quaternionic distribution of curvature-adapted real hypersurfaces in a quaternionic hyperbolic space
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
46. Geometry of ordinary helices in a complex projective space
47. Congruence theorem of geodesics on some naturally reductive Riemannian homogeneous manifolds
48. Shape orerators and structure tensors of real hypersurfaces in nonflat quaternionic space forms �@�@[sostq]
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)
  (with Sadahiro MAEDA)

51. Characterization of totally umbilic hypersurfaces in a space form by circles�@[ctuhc]

Czechoslovak Mathematical Journal 55(2005), 203--207 (no. 1)
  (with Sadahiro MAEDA)

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]
58. Speed and acceleration of projective Bezier curves of order $2$ on real space forms�@[sapb]
59. Complex space forms and geodesics on their geodesic spheres [cfgg]
60. Killing helices on a symmetric space of rank one �@�@[khss]
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61. Rank of a Hermitian symmetric space of noncompact type and K\"ahler magnetic fields

62. Logarithmic derivatives of geodesic curvature for smooth curves and isotropic immersions [ldis]
63. Isoparametric hypersurfaces with less than 4 principal curvatures in a sphere �@[ihs]
64. Integral curves of the characteristic vector field of real hypersurfaces in nonflat complex space forms �@[iccv]
65. Totally umbilic isometric immersions and curves of order two�@[tuic]
66. Characteristic vector fields on geodesic spheres in a complex space forms [cvgs]
67. Geodesic spheres in a nonflat complex space form and their integral curves of the characteristic vector fields [gsci]
68. Schur's lemma for K\"ahler manifolds�@[slkm]
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]
72. A characterization of isotropic immersions by extrinsic shapes of smooth curves [ciec]
73. Curvature logarithmic derivatives of curves and isometric immersions [cldi]
74. Extrinsic geodesics and hypersurfaces of type A in a complex projective space [eghp]
75. A characterization of the homogeneous ruled real hypersurface in a complex hyperbolic space�@[chrrh]
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
78. Dirichlet property for tessellations of tiling-type 4 on a plane by congruent pentagons, [dtpp]
79. Sasakian curves on hypersurfaces of type (A) in a nonflat complex space form, [scha]
80. Dirichlet tessellations of a plane by congruent quadrangles [dtcq]
81. Circular trajectories on real hypersurfaces in a nonflat complex space form, [cthc]

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82. Geometric meaning of Sasakian space forms from the viewpoint of Submanifold Theory [mssf]

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
  (with Masumi KAMEDA, Sadahiro MAEDA)

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]
88. Behavior of circular trajectories on hypersurfaces of type (A_1) in a complex hyperbolic space, [bcth]
89. Kershner's tilings of type 6 by congruent pentagons are not Dirichlet [ktpd]
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]
93. Characterizations of geodesic hyperspheres in a nonflat complex space form [cgsf]
94. An estimate of the spread of trajectories for K\"ahler magnetic fields [estk]
95. Dynamical syatematic aspect on horocyclic circles in a complex hyperbolic space [dhch-WS]
96. Extrinsic circular trajectories on geodesic spheres in a complex projective space [saga60_WS]
97. Congruence classes of minimal ruled real hypersurfaces in a complex space form [mrhc]
98. Volumes of trajectory-balls for K\"ahler magnetic fields, [vtbk]
99. A comparison theorem on harp-sectors for K\"ahler magnetic fields [cths]
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100. K\"ahler graphs of connected product type [Kgcp]

101. Isospectral K\"ahler graphs [isKg] 102. Laplacians for finite regular K\"ahler graphs and for their dual graphs [aLrK]
103. Foliation on the moduli space of extrinsic circular trajectories on a complex hyperbolic space [matsue2013=fmcS]
104. Laplacians for derived graphs of regular K\"ahler graphs [LdgK] 105. An estimate on volumes of trajectory-balls for K\"ahler magnetic fields [evtb] 106. Characterizations of some homogeneous Hopf real hypersurfaces in a nonflat complex space form by extrinsic shapes of trajectories [cshe] 107. A note on vertex-transitive K\"ahler graphs [vtKg] 108. Extrinsic circular trajectories on totally eta-umbilic real hypersurfaces in a complex hyperbolic space [ecth] 109. Trajectories on real hypersurfaces of type A_2 which can be seen as circles in a complex hyperbolic space [morroco] 110. Trajectory-harps and horns applied to the study of the ideal boundary of a Hadamard K\"ahler manifold [thbH]

(with Qingsong SHI *)
Tokyo Journal of Mathematics 40 (2017), 223--236 (no. 1, July)

111. Extrinsic circular trajectories on geodesic spheres in a complex projective space [ecgp]

(with Tuya BAO*)
Osaka Journal of Mathematics 54 (2017), 737 -- 747 (no. 4, Oct.)

112. Horocycle trajectories and their limit-strings on a complex hyperbolic space [greece2017]
113. A study on trajectory-horns for K\"ahler magnetic fields [ICDG2016]
114. Zeta functions for a K\"ahler graph [zfKg]

(with Yaermaimaiti TUERXUNMAIMAITI)
Kodai Mathematical Journal 41(2018), 227--239 (no. 2, June)

115. Accurate trajectory-harps for K\"ahler magnetic fields [ath]

Journal of Mathematical Society of Japan 70 (2018) 1337 -- 1346 (no. 4),   doi: 10.2969/jmsj/76397639

116. Comparison theorem on trajectory-harps for K\"ahler magnetic fields which are holomorphic at their arches [ctth]

(with Qingsong SHI*)
Hokkaido Mathematical Journal 48 (2019), 427--441 (no.2)

117. Eigenvalues of regular K\"ahler graphs having commutative adjacency operators [ICDG2018]
118. Extrinsic shapes of trajectories on real hypersurfaces of type (B) in a complex hyperbolic space
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119. Asymptotic behaviours of trajectories on a Hadamard K\"ahler manifold [abth]

120. Regular and vertex-transitive K\"ahler graphs having commutative principal and auxiliary adjacency operators [cKoc]

with Guanyuan CHEN
Graphs and Combinatorics 36 (2020), 933--958 (no.4 April 6)

121. Length spectrum of complete simply connected Sasakian space forms [lssf]

(with Sadahiro MAEDA)
Differential Geometry and its Applications 70 (2020), 101625 13pp (June)
doi.org/10.1016/j.difgeo.2020.101625

122. Distances from unbounded trajectories to their limit-strings on a Hadamard K\"ahler manifold [dtlH]

Results in Mathematics 76 (2021) no. 3, Article [154] 12pages pub. 10 July, 2021
DOI: 10.1007/s00025-021-01464-9

123. A note on zeta functions of Ihara type for normal Kaehler graphs [zInK]

Discrete Mathematics 345(2022) 112688 14 pages (no.2, February)
DOI: https://doi.org/10.1016/j.disc.2021.112688

124. A note on Legendre trajectories on Sasakian space forms [LtSf]

with Qingsong SHI
New Horizons in Differential Geometry and its Related Fields 41--50
T. Adachi and H. Hashimoto eds., World Scientific, Singapole, (2022), 41--50 [April]
doi.org/10.1142/9789811248108.0003

125. Kaehler graphs whose principal graphs are of Cartesian product type [KgpC]

New Horizons in Differential Geometry and its Related Fields ISBN:978-981-124-809-2
T. Adachi and H. Hashimoto eds., World Scientific, Singapole, (2022), 209--231 [April]
doi.org/10.1142/9789811248108.0013

126. Extrinsic circular trajectories on real hypersurfaces of type (A_2) in a complex projective space

Differential Geometry and Its Applications 82 (2022) 101885, 18 pages (, June)
https://doi.org/10.1016/j.difgeo.2022.101885
with Xiaozhou LIU, Tuya BAO

127. Moduli space of extrinsic circular trajectories on real hypersurfaces of type (A_2) in a complex hyperbolic space [HecA2]
128. Characteristic magnetic focal values of trajectories for K\"ahler magnetic fields [cmfv]

Journal of Geometry 114 (2023), Article 31, (no. 3, December) [November 01, online]
with Yusei AOKI

129. Legendre magnetic flows for totally eta-umbilic real hypersurfaces in a complex hyperbolic space [mLfH]

Differential Geometry and its Applications 91 (2023) Article no. 102074, 19pages [November 20, online]
with Qingsong Shi

130. Trajectories on real hypersurfaces of type (A) and those on a complex projective space [trAP]

Tokyo Journal of Mathematics 47 (2024), (no. 1, )
with Yusei AOKI

131. Legendre magnetic flows for geodesic spheres in a complex projective space [mLfP]

Proceedings of Japan Axcademy Series A 100 (2024), 1--6 (no. 1 January)
with Qingsong Shi
DOI: 10.3792/pjaa.100.001

132. Bounded circles on a complex hyperbolic space are expressed by trajectories on geodesic spheres [cHtg] Back to Top