The Centro-Affine Hadwiger Theorem
classification
🧮 math.MG
keywords
volumeareasbodiesbodycentro-affinecharacteristicclassifiedcombination
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All upper semicontinuous and SL(n) invariant valuations on convex bodies containing the origin in their interiors are completely classified. Each such valuation is shown to be a linear combination of the Euler characteristic, the volume, the volume of the polar body, and the recently discovered Orlicz surface areas.
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