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Meetings of the St. Petersburg Mathematical Society
October 21, 2003, St. Petersburg
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Hyperbolic virtual polytopes and a uniqueness hypothesis for convex surfaces
G. Yu. Panina |
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Abstract:
We describe and discuss counterexamples to the old hypothesis: if the principal curvature radii of a smooth 3-dimensional body K are ewerywhere separated by a constant C, then K is a ball of radius C.
The talk is based on papers by A. V. Pogorelov, Y. Martinez-Maure, and the speaker.
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