On a conjecture of Schroeder and Strake

Details On a conjecture of Schroeder and Strake On a conjecture of Schroeder and Strake

2007-03-02

arxiv.org/abs/math/0703061v1

Mathematics

Differential Geometry

4 pages

Scientific paper

We prove some rigidity results for compact manifolds with boundary. In
particular for a compact Riemannian manifold with nonnegative Ricci curvature
and simply connected mean convex boundary, it is shown that if the sectional
curvature vanishes on the boundary, then the metric must be flat.

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