Alexandrov curvature of convex hypersurfaces in Hilbert space

Details Alexandrov curvature of convex hypersurfaces in Hilbert space Alexandrov curvature of convex hypersurfaces in Hilbert space

2009-12-09

arxiv.org/abs/0912.1825v2

Mathematics

Metric Geometry

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Scientific paper

It is shown that convex hypersurfaces in Hilbert spaces have nonnegative
Alexandrov curvature. This extends an earlier result of Buyalo for convex
hypersurfaces in Riemannian manifolds of finite dimension.

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