The Centro-Affine Hadwiger Theorem

Abstract

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.

References in corpus (1)

• Crofton measures and Minkowski valuations

Cited by in corpus (1)

• Aleksandrov-Fenchel inequalities for unitary valuations of degree 2 and 3