COMPLETE HYPERSURFACES WITH w-CONSTANT MEAN CURVATURE IN THE UNIT SPHERES

被引：0

作者：

Cheng, Qing-Ming ^{[1
]}

Wei, Guoxin ^{[2
]}

机构：

[1] Fukuoka Univ, Fac Sci, Dept Appl Math, Fukuoka 8140180, Japan

[2] South China Normal Univ, Sch Math Sci, Guangzhou 510631, Peoples R China

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2023年

关键词：

The second fundamental form; scalar curvature; mean curvature; MINIMAL HYPERSURFACES; SCALAR CURVATURE; CHERNS CONJECTURE; PINCHING CONSTANT; RIGIDITY; SUBMANIFOLDS;

D O I：

10.1090/tran/9076

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study 4-dimensional complete hypersurfaces with w-constant mean curvature in the unit sphere. We give a lower bound of the scalar curvature for 4-dimensional complete hypersurfaces with w-constant mean curvature. As a by-product, we give a new proof of the result of DengGu-Wei [Adv. Math. 314 (2017), pp. 278-305] under the weaker topological condition.

引用

页码：887 / 904

页数：18

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