On the mean curvatures sharp estimates of hypersurfaces |
| |
Authors: | Alain R Veeravalli |
| |
Institution: | Département de Mathématiques, Université d''Evry-Val d''Essonne, Boulevard des Coquibus, F-91025 Evry Cedex, France |
| |
Abstract: | Sharp estimates for the mean curvatures of hypersurfaces in Riemannian manifolds are known from the works of Jorge-Xavier 3], Markvorsen 6] and Vlachos 11]. We first give a simplified proof of these estimates. This proof shows that a similar original result holds for hypersurfaces in Einstein manifolds which are warped product of by Ricci-flat manifolds. |
| |
Keywords: | |
本文献已被 ScienceDirect 等数据库收录! |
|