Closed convex hypersurfaces with curvature restrictions-Reference-Cited by-同舟云学术

Closed convex hypersurfaces with curvature restrictions

Published:1988 Issue:4 Volume:103 Page:1201-1204
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Schneider Rolf

Abstract

Using elementary facts from the theory of convex bodies, we obtain an improved version of J. Rauch’s [5] inclusion theorem for ovaloids with comparable second fundamental forms and a generalization of a result of A. W. Goodman [4] on the position of the curvature centroids for ovaloids with restricted radii of curvature.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1988-103-04/S0002-9939-1988-0955009-0/S0002-9939-1988-0955009-0.pdf

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4. An inclusion theorem for ovaloids with comparable second fundamental forms;Rauch, Jeffrey;J. Differential Geometry,1974

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