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

Qing-Ming Cheng; Guoxin Wei

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arXiv · 2212.09210

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

Qing-Ming Cheng·Guoxin Wei

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Abstract

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 Deng-Gu-Wei under the weaker topological condition.

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BibTeX RIS

Qing-Ming Cheng, Guoxin Wei. 2022-12-19. Complete hypersurfaces with $w$-constant mean curvature in the unit spheres. https://arxiv.org/abs/2212.09210

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