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

Autor: Cheng, Qing-Ming, Wei, Guoxin
Rok vydání: 2022
Předmět:
Zdroj: Transactions of the American Mathematical Society 2024
Druh dokumentu: Working Paper
Popis: 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.
Databáze: arXiv