Rigidity Theorems for Manifolds with Boundary and Nonnegative Ricci Curvature |
| |
| Authors: | Manfredo do Carmo Changyu Xia |
| |
| Affiliation: | 1. Institut de Matemática Pura e Aplicada, Estrada Dona Castorina 110, 22460-320, Rio de Janeiro, Brasil
2. Departamento de Matemática-IE, Universidade de Brasília, Campus Universit?io, 70910-900, Brasília-DF, Brasil
|
| |
| Abstract: | In this paper, we obtain some rigidity theorems for compact Riemannian manifolds Ω with boundary M and nonnegative Ricci curvature; for instance, we prove that the existence of certain functions on M together with a lower bound c > 0 on the principal curvtures of M imply that Ω is an euclidean ball of radius $ {1over c} $ . |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
