Closed convex hypersurfaces with curvature restrictions

Schneider, Rolf

doi:10.1090/S0002-9939-1988-0955009-0

Closed convex hypersurfaces with curvature restrictions
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by Rolf Schneider PDF

Proc. Amer. Math. Soc. 103 (1988), 1201-1204 Request permission

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.

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