On strictly convex subsets in negatively curved manifolds

Jouni Parkkonen; Frédéric Paulin

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arXiv · 1002.2860

On strictly convex subsets in negatively curved manifolds

Jouni Parkkonen·Frédéric Paulin

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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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BibTeX RIS

Jouni Parkkonen, Frédéric Paulin. 2010-02-15. On strictly convex subsets in negatively curved manifolds. https://arxiv.org/abs/1002.2860

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