著書：
1. 積分公式で啓くベクトル解析と微分幾何学 - ストークスの定理から変分公式まで - ,
共立出版, ISBN:978-4-320-11475-3, (2022), 385ページ. view
2. 理論物理に潜む部分多様体幾何 - 一般相対性理論琉論・ゲージ理論との関わり- ,
共立出版, ISBN:978-4-320-11440-1, (2021). 438ページ, view
3. 平均曲率流 - 部分多様体の時間発展 - , 共立出版, ISBN:978-4-320-11376-3,
(2019), 376ページ, .view
4. 理工系の基礎 数学 II, 丸善出版, ISBN:978-4-621-30250-7, (2018),
208ページ, 全著者名(担当したページの順)：小池直之，山川大亮，金子宏，
黒沢健，宮岡悦良，瀬尾隆，石渡恵美子，相原研輔，関川浩，周冠宇 view
査読付き論文：
1. Regularized mean curvature flow for invariant hypersurfaces in a Hilbert space
and its application to gauge theory, Calc. Var. Partial Differential Equations
(to appear).
2. Isoparametric submanifolds in Hilbert spaces and holonomy maps,
Illinois Journal of Mathematics, vol. 67 (2023) 153-170. view
3. The preservability of the curvature-adaptedness along the mean curvature
flow, Differential Geometry and its Applications vol. 84 (2022) 101931
(15 pages). view
4. The behaviour of the mean curvature flow for pinched submanifolds in
rank one symmetric spaces, Osaka Journal of Mathematics, vol. 59 (2022)
905-950. view
5. Pseudo-hyperbolic Gauss maps of Lorentzian surfaces in anti-de Sitter
space, Math. Nachrichten vol. 293 (2020) 923-944 (with Honoka Kobayashi).
view
6. Isoparametric submanifolds admitting a reflective focal submanifold
in symmetric spaces of non-compact type, Osaka J. Math. vol. 57 (2020)
207-246. view
7. Calabi-Yau structures and special Lagrangian submanifolds of complexified
symmetric spaces, Illinois J. Math. vol. 63 (2019) 575-600. view
8. Equifocal submanifolds in a symmetric space and the infinite dimensional
geometry, SUGAKU EXPOSITIONS, vol. 32 (2019) 25-56. view
9. Mean curvature flow of certain kind of isoparametric foliations on non-cpmpact
symmetric spaces, CUBO A Mathematical Journal vol. 20 (2018) 13-30. view
10. A modified mean curvature flow in Euclidean space and soap bubbles
in symmetric spaces, Geometriae Dedicata vol. 195 (2018) 1-17. view
11. Gauss maps of the Ricci-mean curvature flow, Geometriae Dedicata vol.
194 (2018) 169-185. (with Hikaru Yamamoto). view
12. The mean curvature flow for invariant hypersurfaces in a Hilbert space
with an almost free group action, Asian J. Math. vol. 21 (2017) 953-980.
view
13. Homogeneity of infinite dimensional anti-Kaehler isoparametric submanifolds
II, Tokyo J. Math. vol. 40 (2017) 301-337. view
14. Volume-preserving mean curvature flow for tubes in rank one symmetric
spaces of non-compact type, Calc. Var. Partial Differential Equations vol.
56, (2017) (51pages). view
15. A holonomy invariant anisotropic surface energy in a Riemannian manifold,
Differential Geom. Appl. vol. 44 (2016) 98-121. view
16. The inverse mean curvature flow in rank one symmetric spaces of non-compact
type, Kyushu J. Math. vol.69 (2015) 259-284 (with Yusuke Sakai). view
17. On the indices of minimal orbits of Hermann actions, Hokkaido Math.
J. vol.44 (2015) 251-275. view
18. 対称空間内の等焦部分多様体と無限次元幾何, 数学・論説 67 日本数学会 (2015) 26-54. view
19. The Regularized Mean Curvature Flow for Invariant Hypersurfaces in
a Hilbert Space, Seoul ICM 2014, Satellite Conference on Real and Complex
Submanifolds, Springer Proceedings in Mathematics & Statistics vol.
106 (2015) pp 437-452. view
20. Research of submanifolds in symmetric spaces by using the complexification
and the infinite dimensional geometry, SUT J. Math. (Fiftieth Anniversary
Issue) vol. 50 (2014) 103-129. view
21. The complexifications of pseudo-Riemannian manifolds and anti-Kaehler
geometry, SUT J. Math. (Fiftieth Anniversary Issue) vol. 50 (2014) 271-295.
view
22. A Cartan type identity for isoparametric hypersurfaces in symmetric
spaces, Tohoku Math. J. vol. 66 (2014) 435-454. view
23. The constancy of principal curvatures of curvature-adapted submanifolds
in symmetric spaces, Differential Geom. Appl. vol. 35 (2014) 103-113. view
24. Homogeneity of infinite dimensional anti-Kaehler isoparametric submanifolds,
Tokyo J. Math. vol. 37 (2014) 159-178. view
25. Collapse of the mean curvature flow for isoparametric submanifolds
in non-cmpact symmetric spaces, Kodai Math. J. vol. 37 (2014) 355-382.
view
26. Examples of certain kind of minimal orbits of Hermann actions, Hokkaido
Math. J. vol. 43 (2014) 21-42. view
27. Collapse of the mean curvature flow for equifocal submanifolds, Asian
J. Math. vol. 15 (2011) 101-128. view
28. Hermann type actions on a pseudo-Riemannian symmetric space, Tsukuba
J. Math. vol. 34 (2010) 137-172. view
29. On curvature-adapted and proper complex equifocal submanifolds, Kyungpook
Math. J. vol. 50 (2010) 509-536. view
30. Examples of a complex hyperpolar action without singular orbit, Cubo
A Math. J. vol. 12 (2010) 131-147. view
31. The homogeneous slice theorem for the complete complexification of
a proper complex equifocal submanifold, Tokyo J. of Math. vol. 33 (2010)
1-30. view
32. On non-existenceness of equifocal submanifolds with non-flat section,
Asian J. of Math. vol. 12 (2008) 421-442. view
33. A Chevalley type restriction theorem for a proper complex equifocal
submanifold, Kodai Math. J. vol. 30 (2007) 280-296. view
34. Complex hyperpolar actions with a totally geodesic orbit, Osaka J.
Math. vol. 44 (2007) 491-503. view
35. A splitting theorem for proper compex equifocal submanifolds, Tohoku
Math. J. vol. 58 (2006) 393-417. view
36. The variational formulas for the volume function in the equiaffine
geometry, Hokkaido Math. J. vol. 35 (2006) 719-751. view
37. Complex equifocal submanifolds and infinite dimensional anti-Kaehlerian
isoparametric submanifolds, Tokyo J. Math. vol. 28 (2005) 201-247. view
38. Actions of Hermann type and proper complex equifocal submani- folds,
Osaka J. Math. vol. 42 (2005) 599-611. view
39. Blaschke Dupin hypersurfaces and equiaffine tubes, Results Math. vol.
48 (2005) 97-108. view
40. The quadratic slice theorem and the equiaffine tube theorem for equiaffine
Dupin
hypersurfaces, Results Math. vol. 47 (2005) 69-92. view
41. The Gauss-Bonnet and Chern-Lashof theorems in a simply connected symmetric
space of compact type, Tokyo J. Math. vol. 28 (2005) 483-497. view
42. Submanifold geometries in a symmetric space of non-compact type and
a pseudo-Hilbert space, Kyushu J. Math, vol. 58 (2004) 167-202. view
43. A generalization of Lelieuvre's formula for equiaffine immersions of
general codimension, Results Math. vol. 43 (2003) 150-155. view
44. Theorems of Gauss-Bonnet and Chern-Lashof types in a simply connected
symmetric space of non-positive curvature, Tokyo J. Math. vol. 26 (2003)
527-539. view
45. On focal points of submanifolds in symmetric spaces, SUT J. Math. vol.
39 (2003) 171-181. view
46. On proper Fredholm submanifolds in a Hilbert space arising from submanifolds
in a symmetric space, Japan J. Math. vol. 28 (2002) 61-80. view
47. The total absolute curvature of an equiaffine immersion, Results Math.
vol. 42 (2002) 81-106. view
48. Tubes of non-constant radius in symmetric spaces, Kyushu J. Math. vol.
56 (2002) 267-291. view
49. Equiaffine immersions of general codimension and its transversal volume
element map, Results Math. vol. 39 (2001) 276-291 (with Kouji Takekuma).
view
50. An extrinsic decomposition theorem and a slant tube theorem for a curvature
netted hypersurface, Results Math. vol. 39 (2001) 245-273. view
51. The Lipschitz-Killing curvature for an equiaffine immersion and theorems
of Gauus-Bonnet type and Chern-Lashof type, Results Math. vol. 39 (2001)
230-244. view
52. Ehresmann connections for a foliated manifold and certain kinds of
rectangles without terminal vertx, Kodai Math. J. vol. 22 (1999) 402-423.
view
53. Generalized helical immersions of a Riemannian manifold all of whose
geodesics are closed into a Euclidean space, Tsukuba J. Math. vol. 22 (1998)
811-824. view
54. A theorem of Pick-Berwald type for a totally umbilical affine immersion
of general codimension, SUT J. Math. vol. 34 (1998) .169-177. (with Yoko
Torisawa) view
55. Generalized helical immersions, Tsukuba J. Math. vol. 22 (1998) 407-425.
view
56. On proper helices and extrinsic spheres in pseudo-Riemannian geometry,
Tsukuba J. Math. vol. 20 (1996) 263-280. view
57. The decomposition of curvature netted hypersurfaces, Geometriae Dedicata
vol. 54 (1995) 1-11. view
58. Ehresmann connections for a foliation on a manifold with boundry, SUT
J. Math. vol. 30 (1994) 147-158. view
59. On tubes of nonconstant radius, Tsukuba J. Math. vol. 17 (1993) 267-286.
view
60. Totally umbilic orthogonal nets and decomposition theorems, Saitam
Math. J. vol. 10 (1992) 1-20. view
61. Foliations on a Riemannian manifold and Ehresmann connections, Indiana
Univ. Math. J. vol. 40 (1991) 277-292. view
62. Totally umbilic foliations and decomposition theorems, Saitama Math.
J. vol. 8 (1990) 1-18. view
63. Proper isoparametric semi-Riemannian submanifolds in a semi-Riemannian
space form, Tsukuba J. Math. vol. 13 (1989) 131-146. view
64. Congruence theorem for proper semi-Riemannian hyperdurfaces in a real
space form, Yokohama Math. J. vol. 35 (1987) 123-136. view
過去の掲載論文のすべてについては、こちら(MathSciNet）または
こちらをクリックしてください。
未掲載の最近の論文についてはこちら(arXiv）をクリックしてください。
最近、下記の（未掲載の）論文をバージョンアップしました：
arXiv:1310.0649v4 （更新日：2014年1月15日）
arXiv:1309.4225v5 （更新日：2014年1月14日）
arXiv:1010.1652v4 （更新日：２０１３年９月３０日）
arXiv:1210.2539v2 （更新日：２０１３年９月１２日）
arXiv:1001.3514v5 （更新日：２０１３年２月２５日）
arXiv:1212.3911v2 （公開日：2013年2月26日）
arXiv:1209.1933v1 （公開日：２０１２年９月１１日）
arXiv:0807.1606v3 （更新日：２０１０年１２月２８日）
arXiv:0902.1375v3 （更新日：２０１０年１２月１３日）
arXiv:0908.3086v5 （更新日：２０１０年４月２３日）
arXiv:1001.3508v5 （更新日：2013年12月9日）
arXiv:0807.1601v3 （更新日：２０１０年４月２３日）
arXiv:0807.1607v3 （更新日：２０１０年３月１５日)
arXiv:0807.1579v3 （更新日：２０１０年２月１４日）
1. タイトル : The regularized mean curvature flow for invariant hypersurfaces
in a Hilbert space
会議名：Seoul ICM 2014 (International Congress of Mathematicians)
-Satellite Conference on Real and Complex Submanifolds
場所：National Institute for Mathematical Science、Korea
日時：2014年8月10-12日
2. タイトル : The regularized mean curvature flow for invariant hypersurfaces
in a Hilbert space with an almost free Lie group action
会議名 : RIMS研究集会「群作用と部分多様体論の展開」
場所 : 京都大学数理解析研究所
日時 : 2014年6月26日
3. タイトル：The mean curvature flow for a convex hypersurface
会議名：Mini International Workshop on Quaternionic hyperbolic space, Osserman
$4$-manifolds and mean curvature flow
場所：Kyungpook National University, Korea
日時：2013年12月18日
4. タイトル：The mean curvature flow for a mean convex hypersurface
会議名：Mini International Workshop on Quaternionic hyperbolic space, Osserman
$4$-manifolds and mean curvature flow
場所：Kyungpook National University, Korea
日時：2013年12月18日
5. タイトル：The mean curvature flow for an equifocal submanifold
会議名：Mini International Workshop on Quaternionic hyperbolic space, Osserman
$4$-manifolds and mean curvature flow
場所：Kyungpook National University, Korea
日時：2013年12月19日
6. タイトル：The mean curvature flow for a complex equifocal submanifold
会議名：Mini International Workshop on Quaternionic hyperbolic space, Osserman
$4$-manifolds and mean curvature flow
場所：Kyungpook National University, Korea
日時：2013年12月19日
7. タイトル：The regularized mean curvature flow for an invariant hypersurface
in a Hilbert space
会議名：Mini International Workshop on Quaternionic hyperbolic space, Osserman
$4$-manifolds and mean curvature flow
場所：Kyungpook National University, Korea
日時：2013年12月20日
8. タイトル：Certain kind of isoparametric submanifolds in symmetric spaces
of non-compact type and Hermann actions
会議名：The 6th OCAMI-KNUGRG Joint Differential Geometry Workshop on Submnaifold
Theory in Symmetric spaces and Lie Theory in Finite and Infinite Dimensions
場所：大阪市立大学
日時：２０１３年２月２日 （発表に使用したファイル）
9. タイトル： 対称空間内の等径部分多様体を発する平均曲率流
会議名：広島幾何学研究集会２０１２
日時：２０１２年１０月４日 （発表に使用したファイル）
10. タイトル：非コンパクト型対称空間内のある種の等径部分多様体の分類
会議名：部分多様体幾何とリー群作用2012
場所：東京理科大学森戸記念館
日時： ２０１２年９月４日 （発表に使用したファイル）
11. タイトル：非コンパクト型対称空間内のある種の等径部分多様体の分類
会議名：部分多様体の微分幾何学及び関連課題
～前田定廣先生還暦記念研究集会～
場所：佐賀大学
日時：２０１２年８月５日（発表に使用したファイル）
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