Nonnegative curvature, symmetry and fundamental group

Mathematics – Differential Geometry

Scientific paper

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14 pages

Scientific paper

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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