Weakly convex closed subsets of spaces with bounded nonpositive curvature

Stephane Grognet

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Weakly convex closed subsets of spaces with bounded nonpositive curvature

Stephane Grognet

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Abstract

On R^n endowed with a riemannian metric of bounded nonpositive curvature, the weakly convex closed subsets are topologically trivial. The stability of such subsets under intersection characterizes the euclidean spaces.

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BibTeX RIS

Stephane Grognet. 2005-07-08. Weakly convex closed subsets of spaces with bounded nonpositive curvature. https://arxiv.org/abs/math/0507174

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