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.References
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Additional Information
- © Copyright 1988 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 103 (1988), 1201-1204
- MSC: Primary 53A07; Secondary 52A20
- DOI: https://doi.org/10.1090/S0002-9939-1988-0955009-0
- MathSciNet review: 955009