Complete hypersurfaces with 𝑤-constant mean curvature in the unit spheres-Reference-Cited by-同舟云学术

Complete hypersurfaces with 𝑤-constant mean curvature in the unit spheres

Published:2023-11-20 Issue:2 Volume:377 Page:887-904
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Cheng Qing-Ming,Wei Guoxin

Abstract

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

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

https://www.ams.org/tran/2024-377-02/S0002-9947-2023-09076-6/S0002-9947-2023-09076-6.pdf

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