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.
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页码：887 / 904
页数：18
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