On strictly convex subsets in negatively curved manifolds

Details On strictly convex subsets in negatively curved manifolds On strictly convex subsets in negatively curved manifolds

2010-02-15

arxiv.org/abs/1002.2860v1

Mathematics

Differential Geometry

12 pages

Scientific paper

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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