Conformally flat manifolds with nonnegative Ricci curvature

[摘要] We show that complete conformally flat manifolds of dimension $ngeq 3$ with nonnegative Ricci curvature enjoy nice rigidity properties: they are either flat, or locally isometric to a product of a sphere and a line; or are globally conformally equivalent to ${mathbb R}^n$ or to a spherical spaceform ${mathbb S}^n/Gamma$. This extends previous results due to Cheng, Noronha, Chen, Zhu and Zhu.

[学科分类] 数学（综合）