Characterization of metric balls in standard space forms via curvature

DOI10.1007/PL00004402zbMath0983.53023MaRDI QIDQ1127717

Peter Kohlmann

Publication date: 23 April 2002

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

zbMATH Keywords

convexityspherehyperbolic spacecurvature measureselementary symmetric functionprincipal curvature radiiovaloidMinkowski integral formulasJFM 31.0610.01JFM 55.1071.04mean curvature functionsmetric balls

Mathematics Subject Classification ID

Global submanifolds (53C40) Integral geometry (53C65) Global Riemannian geometry, including pinching (53C20) Spherical and hyperbolic convexity (52A55) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

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