Geodesic
Alexandrov Curvature of Convex Hypersurfaces in Hilbert Space Forms
Journal of convex analysis, Tome 25 (2018) no. 3, pp. 781-788
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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.
Classification : 53C45, 53C23
Mots-clés : Convex hypersurfaces, Alexandrov curvature, Hilbert spaces 
@article{JCA_2018_25_3_JCA_2018_25_3_a4,
     author = {J. Dahl},
     title = {Alexandrov {Curvature} of {Convex} {Hypersurfaces} in {Hilbert} {Space} {Forms}},
     journal = {Journal of convex analysis},
     pages = {781--788},
     year = {2018},
     volume = {25},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/JCA_2018_25_3_JCA_2018_25_3_a4/}
}
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J. Dahl. Alexandrov Curvature of Convex Hypersurfaces in Hilbert Space Forms. Journal of convex analysis, Tome 25 (2018) no. 3, pp. 781-788. http://geodesic.mathdoc.fr/item/JCA_2018_25_3_JCA_2018_25_3_a4/