Splitting and pinching for convex sets
β
Peter Kohlmann
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Article
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1996
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Springer
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English
β 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