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| Profile |
 Name ： Naoyuki Koike
 Research Area : Differential Geometry, Topolology
 Main my Papers：
1.Collapse of the mean curvature flow for equifocal submanifolds,
Asian J. Math. vol. 15 (2011) 101-128.
2.Hermann type actions on a pseudo-Riemannian symmetric space, Tsukuba
J. Math. vol. 34 (2010) 137-172.
3,On curvature-adapted and proper complex equifocal submanifolds,
Kyungpook Math. J. vol 50 (2010) 509-536.
4.Examples of a complex hyperpolar action without singular orbit,
Cubo A Math. J. vol. 12 (2010) 131-147.
5.The homogeneous slice theorem for the complete complexification of a
proper complex equifocal submanifold,
Tokyo J. of Math. vol. 33 (2010) 1-30.
6. On non-existenceness of equifocal submanifolds with non-flat section,
Asian J. of Math. vol. 12 (2008) 421-442.
7. A Chevalley type restriction theorem for a proper complex equifocal
submanifold, Kodai Math. J. vol. 30 (2007) 280-296.
8. Complex hyperpolar actions with a totally geodesic orbit,
Osaka J. Math. vol. 44 (2007) 491-503.
9. A splitting theorem for proper compex equifocal submanifolds,
Tohoku Math. J. vol. 58 (2006) 393-417.
10. The variational formulas for the volume function in the equiaffine
geometry, Hokkaido Math. J. vol. 35 (2006) 719-751.
11. Complex equifocal submanifolds and infinite dimensional anti-Kaehlerian
isoparametric submanifolds, Tokyo J. Math.
vol. 28 (2005) 201-247.
12. Actions of Hermann type and proper complex equifocal submani- folds,
Osaka J. Math. vol. 42 (2005) 599-611.
13. The Gauss-Bonnet and Chern-Lashof theorems in a simply connected symmetric
space of compact type, Tokyo J. Math.
vol. 28 (2005) 483-497.
14. Blaschke Dupin hypersurfaces and equiaffine tubes, Results Math. vol.
48 (2005) 97-108.
15. Submanifold geometries in a symmetric space of non-compact type and
a pseudo-Hilbert space, Kyushu J. Math, vol. 58 (2004)
167-202.
16. On proper Fredholm submanifolds in a Hilbert space arising from submanifolds
in a symmetric space, Japan J. Math. vol. 28 (2002) 61-80.
About all of my papers, please click here(MathSciNet).
About my unpublished papers, click here(arXiv).
The versions of the following papers have been recently improved.
arXiv:1001.3514v2 (Update:28 November, 2011)
arXiv:0807.1606v3 (Update:28 December, 2010)
arXiv:0902.1375v3 (Update:13 December, 2010)
arXiv:1010.1652v1 (Update11 October, 2010)
arXiv:0908.3086v5 (Update:23 April, 2010)
arXiv:1001.3508v3 (Update:23 April, 2010)
arXiv:0807.1601v3 (Update:23 April, 2010)
arXiv:0807.1607v3 (Update15 March, 2010)
arXiv:0807.1579v3 (Update:14 February, 2010)
 My favorite annimal : cat
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