A sphere theorem for submanifolds in a manifold with pinched positive curvature

被引：0

作者：

Chang-Yu Xia

机构：

[1] University of Science and Technology of China,Department of Mathematics

[2] Universidade de Brasília,Departmento de Matemática IE

来源：

Monatshefte für Mathematik | 1997年 / 124卷

关键词：

53C20; 53C42; Sphere theorem; submanifold; curvature;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we prove a sphere theorem for submanifolds in a Riemannian manifold with pinched positive curvature. This result generalizes a recent result of Leung.

引用

页码：365 / 368

页数：3

共 50 条

[1] A sphere theorem for submanifolds in a manifold with pinched positive curvature
Xia, CY
[J]. MONATSHEFTE FUR MATHEMATIK, 1997, 124 (04): : 365 - 368
[2] Evolving pinched submanifolds of the sphere by mean curvature flow
Charles Baker
Huy The Nguyen
[J]. Mathematische Zeitschrift, 2023, 303
[3] Evolving pinched submanifolds of the sphere by mean curvature flow
Baker, Charles
Nguyen, Huy The
[J]. MATHEMATISCHE ZEITSCHRIFT, 2023, 303 (02)
[4] A sphere theorem for three dimensional manifolds with integral pinched curvature
Bour, Vincent
Carron, Gilles
[J]. COMMUNICATIONS IN ANALYSIS AND GEOMETRY, 2017, 25 (01) : 97 - 124
[5] Geometric rigidity theorem for submanifolds with positive curvature
Xu H.
Han W.
[J]. Applied Mathematics-A Journal of Chinese Universities, 2005, 20 (4) : 475 - 482
[6] Sphere theorem for manifolds with positive curvature
Mahaman, Bazanfare
[J]. GLASGOW MATHEMATICAL JOURNAL, 2006, 48 : 37 - 40
[7] SOME SPHERE THEOREMS FOR SUBMANIFOLDS WITH POSITIVE BIORTHOGONAL CURVATURE
Rufino, Elzimar
[J]. GLASGOW MATHEMATICAL JOURNAL, 2017, 59 (03) : 717 - 728
[8] A RIGIDITY THEOREM FOR SUBMANIFOLDS WITH PARALLEL MEAN-CURVATURE IN A SPHERE
XU, HW
[J]. ARCHIV DER MATHEMATIK, 1993, 61 (05) : 489 - 496
[9] AN EXTRINSIC RIGIDITY THEOREM FOR SUBMANIFOLDS WITH PARALLEL MEAN CURVATURE IN A SPHERE
Xu, Hong-We
Huang, Fei
Xiang, Fei
[J]. KODAI MATHEMATICAL JOURNAL, 2011, 34 (01) : 85 - 104
[10] Biharmonic Submanifolds in a Riemannian Manifold with Non-Positive Curvature
Nobumitsu Nakauchi
Hajime Urakawa
[J]. Results in Mathematics, 2013, 63 : 467 - 474

← 1 2 3 4 5 →