On strictly convex subsets in negatively curved manifolds
Differential Geometry
2010-02-16 v1
Abstract
In a complete simply connected Riemannian manifold X of pinched negative curvature, we give a sharp criterion for a subset C to be the epsilon-neighbourhood of some convex subset of X, in terms of the extrinsic curvatures of the boundary of C.
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Cite
@article{arxiv.1002.2860,
title = {On strictly convex subsets in negatively curved manifolds},
author = {Jouni Parkkonen and Frédéric Paulin},
journal= {arXiv preprint arXiv:1002.2860},
year = {2010}
}
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12 pages