著書&査読付き論文のリスト


著書:


1. 位相空間の道標 - 基礎から位相不変量まで - ,
共立出版, ISBN:978-4-320-11576-7, (2025), 280ページ. view

2. 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

3. 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

4. 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

5. 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. Isotropy invariant graphical mean curvature flows in warped products,
J. Geom. Anal. vol. 35, (2025) 24pages. (with Naotoshi Fujihara) view

2. Translators invariant under hyperpolar actions, Kodai Math. J. vol. 48, (2025)
101-122. (with Tomoki Fujii) view

3. Regularized mean curvature flow for invariant hypersurfaces in a Hilbert space
and its application to gauge theory, Calc. Var. Partial Differential Equations vol. 63,
(2024) 56pages. view

4. Isoparametric submanifolds in Hilbert spaces and holonomy maps,
Illinois Journal of Mathematics, vol. 67 (2023) 153-170. view

5. The preservability of the curvature-adaptedness along the mean curvature flow, Differential Geometry and its Applications vol. 84 (2022) 101931 (15 pages). view

6. 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

7. Pseudo-hyperbolic Gauss maps of Lorentzian surfaces in anti-de Sitter space, Math. Nachrichten vol. 293 (2020) 923-944 (with Honoka Kobayashi). view

8. Isoparametric submanifolds admitting a reflective focal submanifold in symmetric spaces of non-compact type, Osaka J. Math. vol. 57 (2020) 207-246. view

9. Calabi-Yau structures and special Lagrangian submanifolds of complexified symmetric spaces, Illinois J. Math. vol. 63 (2019) 575-600. view

10. Equifocal submanifolds in a symmetric space and the infinite dimensional geometry, SUGAKU EXPOSITIONS, vol. 32 (2019) 25-56. view

11. Mean curvature flow of certain kind of isoparametric foliations on non-cpmpact symmetric spaces, CUBO A Mathematical Journal vol. 20 (2018) 13-30. view

12. A modified mean curvature flow in Euclidean space and soap bubbles in symmetric spaces, Geometriae Dedicata vol. 195 (2018) 1-17. view

13. Gauss maps of the Ricci-mean curvature flow, Geometriae Dedicata vol. 194 (2018) 169-185. (with Hikaru Yamamoto). view

14. 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

15. Homogeneity of infinite dimensional anti-Kaehler isoparametric submanifolds II, Tokyo J. Math. vol. 40 (2017) 301-337. view

16. 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

17. A holonomy invariant anisotropic surface energy in a Riemannian manifold, Differential Geom. Appl. vol. 44 (2016) 98-121. view

18. 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

19. On the indices of minimal orbits of Hermann actions, Hokkaido Math. J. vol.44 (2015) 251-275. view

20. 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

21. 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

22. 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

23. The complexifications of pseudo-Riemannian manifolds and anti-Kaehler geometry, SUT J. Math. (Fiftieth Anniversary Issue) vol. 50 (2014) 271-295. view

24. A Cartan type identity for isoparametric hypersurfaces in symmetric spaces, Tohoku Math. J. vol. 66 (2014) 435-454. view

25. The constancy of principal curvatures of curvature-adapted submanifolds in symmetric spaces, Differential Geom. Appl. vol. 35 (2014) 103-113. view

26. Homogeneity of infinite dimensional anti-Kaehler isoparametric submanifolds, Tokyo J. Math. vol. 37 (2014) 159-178. view

27. Collapse of the mean curvature flow for isoparametric submanifolds in non-cmpact symmetric spaces, Kodai Math. J. vol. 37 (2014) 355-382. view

28. Examples of certain kind of minimal orbits of Hermann actions, Hokkaido Math. J. vol. 43 (2014) 21-42. view

29. Collapse of the mean curvature flow for equifocal submanifolds, Asian J. Math. vol. 15 (2011) 101-128. view

30. Hermann type actions on a pseudo-Riemannian symmetric space, Tsukuba J. Math. vol. 34 (2010) 137-172. view

31. On curvature-adapted and proper complex equifocal submanifolds, Kyungpook Math. J. vol. 50 (2010) 509-536. view

32. Examples of a complex hyperpolar action without singular orbit, Cubo A Math. J. vol. 12 (2010) 131-147. view

33. The homogeneous slice theorem for the complete complexification of a proper complex equifocal submanifold, Tokyo J. of Math. vol. 33 (2010) 1-30. view

34. On non-existenceness of equifocal submanifolds with non-flat section, Asian J. of Math. vol. 12 (2008) 421-442. view

35. A Chevalley type restriction theorem for a proper complex equifocal submanifold, Kodai Math. J. vol. 30 (2007) 280-296. view

36. Complex hyperpolar actions with a totally geodesic orbit, Osaka J. Math. vol. 44 (2007) 491-503. view

37. A splitting theorem for proper compex equifocal submanifolds, Tohoku Math. J. vol. 58 (2006) 393-417. view

38. The variational formulas for the volume function in the equiaffine geometry, Hokkaido Math. J. vol. 35 (2006) 719-751. view

39. Complex equifocal submanifolds and infinite dimensional anti-Kaehlerian isoparametric submanifolds, Tokyo J. Math. vol. 28 (2005) 201-247. view

40. Actions of Hermann type and proper complex equifocal submani- folds, Osaka J. Math. vol. 42 (2005) 599-611. view

41. Blaschke Dupin hypersurfaces and equiaffine tubes, Results Math. vol. 48 (2005) 97-108. view

42. The quadratic slice theorem and the equiaffine tube theorem for equiaffine Dupin
hypersurfaces, Results Math. vol. 47 (2005) 69-92. view

43. 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

44. Submanifold geometries in a symmetric space of non-compact type and a pseudo-Hilbert space, Kyushu J. Math, vol. 58 (2004) 167-202. view

45. A generalization of Lelieuvre's formula for equiaffine immersions of general codimension, Results Math. vol. 43 (2003) 150-155. view

46. 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

47. On focal points of submanifolds in symmetric spaces, SUT J. Math. vol. 39 (2003) 171-181. view

48. On proper Fredholm submanifolds in a Hilbert space arising from submanifolds in a symmetric space, Japan J. Math. vol. 28 (2002) 61-80. view

49. The total absolute curvature of an equiaffine immersion, Results Math. vol. 42 (2002) 81-106. view

50. Tubes of non-constant radius in symmetric spaces, Kyushu J. Math. vol. 56 (2002) 267-291. view

51. Equiaffine immersions of general codimension and its transversal volume element map, Results Math. vol. 39 (2001) 276-291 (with Kouji Takekuma). view

52. An extrinsic decomposition theorem and a slant tube theorem for a curvature netted hypersurface, Results Math. vol. 39 (2001) 245-273. view

53. 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

54. Ehresmann connections for a foliated manifold and certain kinds of rectangles without terminal vertx, Kodai Math. J. vol. 22 (1999) 402-423. view

55. 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

56. 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

57. Generalized helical immersions, Tsukuba J. Math. vol. 22 (1998) 407-425. view

58. On proper helices and extrinsic spheres in pseudo-Riemannian geometry, Tsukuba J. Math. vol. 20 (1996) 263-280. view

59. The decomposition of curvature netted hypersurfaces, Geometriae Dedicata vol. 54 (1995) 1-11. view

60. Ehresmann connections for a foliation on a manifold with boundry, SUT J. Math. vol. 30 (1994) 147-158. view

61. On tubes of nonconstant radius, Tsukuba J. Math. vol. 17 (1993) 267-286. view

62. Totally umbilic orthogonal nets and decomposition theorems, Saitam Math. J. vol. 10 (1992) 1-20. view

63. Foliations on a Riemannian manifold and Ehresmann connections, Indiana Univ. Math. J. vol. 40 (1991) 277-292. view

64. Totally umbilic foliations and decomposition theorems, Saitama Math. J. vol. 8 (1990) 1-18. view

65. Proper isoparametric semi-Riemannian submanifolds in a semi-Riemannian space form, Tsukuba J. Math. vol. 13 (1989) 131-146. view

66. 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)


招待講演リスト

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

学会等における講演リストのすべてにつきましては、こちら
クリックしてください。

今後の招待講演予定