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On Strictly Convex Subsets in Negatively Curved Manifolds |
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| Authors: | Jouni Parkkonen Frédéric Paulin |
| Institution: | 1. Department of Mathematics and Statistics, University of Jyv?skyl?, P.O. Box 35, 40014, University of Jyv?skyl?, Finland 2. DMA, UMR 8553 CNRS, Ecole Normale Sup??rieure, 45 rue d??Ulm, 75230, Paris Cedex 05, France 3. D??partement de Math??matiques, UMR 8628 CNRS, Universit?? Paris-Sud 11, Bat. 425, 91405, Orsay Cedex, France |
| 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 ??-neighbourhood of some convex subset of X, in terms of the extrinsic curvatures of the boundary of C. |
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