Weakly convex closed subsets of spaces with bounded nonpositive curvature
Differential Geometry
2016-09-07 v1
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.
Keywords
Cite
@article{arxiv.math/0507174,
title = {Weakly convex closed subsets of spaces with bounded nonpositive curvature},
author = {Stephane Grognet},
journal= {arXiv preprint arXiv:math/0507174},
year = {2016}
}