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Splitting and Pinching for Complete Convex Surfaces in E3

✍ Scribed by Senchun Lin


Book ID
110217799
Publisher
Springer
Year
1998
Tongue
English
Weight
101 KB
Volume
69
Category
Article
ISSN
0046-5755

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Splitting and pinching for convex sets
✍ Peter Kohlmann πŸ“‚ Article πŸ“… 1996 πŸ› Springer 🌐 English βš– 917 KB

We consider noncompact, closed and convex sets with nonvoid interior in Euclidean space. It is shown that if such a set has one curvature measure sufficiently close to the boundary measure, then it is congruent to a product of a vector space and a compact convex body. Related stability and character