Affine isoperimetric inequalities for \(L_p\)-intersection bodies (Q976552)
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scientific article; zbMATH DE number 5720616
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Affine isoperimetric inequalities for \(L_p\)-intersection bodies |
scientific article; zbMATH DE number 5720616 |
Statements
Affine isoperimetric inequalities for \(L_p\)-intersection bodies (English)
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14 June 2010
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An \(L_p\)-analogue of the Busemann intersection inequality and an \(L_p\)-dual analog of the \(L_p\)-Petty projection inequality for the \(L_p\)-intersection body (\(p\leq -1\)) are established. Moreover, the Busemann-Petty problem is studied and inequalities for the volume of an \(L_p\)-intersection body (\(p\leq -1\)) are proved.
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\(L_p\)-intersection body
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\(L_p\)-centroid body
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\(L_p\)-projection body
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\(L_p\)-Petty projection inequality
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Busemann intersection inequality
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