Nonnegative curvature, symmetry and fundamental group

Igor Belegradek

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Nonnegative curvature, symmetry and fundamental group

Igor Belegradek

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Abstract

We prove a result on equivariant deformations of flat bundles, and as a corollary, we obtain two ``splitting in a finite cover'' theorems for isometric group actions on Riemannian manifolds with infinite fundamental groups, where the manifolds are either compact of nonnegative Ricci curvature, or complete of nonnegative sectional curvature.

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BibTeX RIS

Igor Belegradek. 2003-02-19. Nonnegative curvature, symmetry and fundamental group. https://arxiv.org/abs/math/0302221

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