On strictly convex subsets in negatively curved manifolds

2010/02/15 by Parkkonen, Jouni, Paulin, Frédéric
#52 A 99 #53 B 25 #53 C 40 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1002.2860

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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