An Integral Geometric Theorem for Simple Valuations
نویسنده
چکیده
We prove a translative mean value formula for simple valuations, taken at the intersection of a fixed and a translated convex body. MSC 2000: 52A22 (primary); 52B45 (secondary)
منابع مشابه
Lefschetz theorem for valuations , complex integral geometry , and unitarily invariant valuations
We obtain new general results on the structure of the space of translation invariant continuous valuations on convex sets (a version of the hard Lefschetz theorem). Using these and our previous results we obtain explicit characterization of unitarily invariant translation invariant continuous valuations. It implies new integral geometric formulas for real submanifolds in Hermitian spaces genera...
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We obtain new general results on the structure of the space of translation invariant continuous valuations on convex sets (a version of the hard Lefschetz theorem). Using these and our previous results we obtain explicit characterization of unitarily invariant translation invariant continuous valuations. It implies new integral geometric formulas for real submanifolds in Hermitian spaces genera...
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تاریخ انتشار 2003