\(L_p\)-Steiner quermassintegrals (Q6135860)
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scientific article; zbMATH DE number 7732013
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(L_p\)-Steiner quermassintegrals |
scientific article; zbMATH DE number 7732013 |
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\(L_p\)-Steiner quermassintegrals (English)
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28 August 2023
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The authors introduce a new concept of the \(L_p\)-Steiner quermassintegrals, which include the classical mixed volumes, the dual mixed volumes, the \(L_p\) affine surface areas and the mixed \(L_p\) affine surface areas. Properties of the \(L_p\)-Steiner quermassintegrals are investigated. Connection with rotation and reflection invariant valuations in a special class of convex bodies is studied.
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Steiner formula
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curvature measures
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(dual) Brunn Minkowski theory
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\(L_p\) Brunn Minkowski theory
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