Journal of Convex Analysis 25 (2018), No. 3, 781--788
Copyright Heldermann Verlag 2018
Alexandrov Curvature of Convex Hypersurfaces in Hilbert Space Forms
Jonathan Dahl
Dept. of Mathematics, Lafayette College, 229 Pardee Hall, Easton, PA 18042, U.S.A.
dahlj@lafayette.edu
It is shown that convex hypersurfaces in Hilbert space forms have corresponding lower bounds on Alexandrov curvature. This extends earlier work of Buyalo, Alexander, Kapovitch, and Petrunin for convex hypersurfaces in Riemannian manifolds of finite dimension.
Keywords: Convex hypersurfaces, Alexandrov curvature, Hilbert spaces.
MSC: 53C45, 53C23
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