On the p-affine surface area
classification
🧮 math.MG
math.FA
keywords
affinegeometricinterpretationsintroducedinvariantsp-affinesurfacearea
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We give geometric interpretations of certain affine invariants of convex bodies. The affine invariants are the p-affine surface areas introduced by Lutwak. The geometric interpretations involve generalizations of the Santal\'o-bodies introduced by the authors in a previous paper.
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