Centro-Affine Tensor Valuations

2015/09/13 by Haberl, Christoph, Parapatits, Lukas · 1 citation
#52A20 #52B45 #FOS: Mathematics #Metric Geometry (math.MG)

paper · doi:10.48550/arxiv.1509.03831

Abstract

We completely classify all measurable SL(n)-covariant symmetric tensor valuations on convex polytopes containing the origin in their interiors. It is shown that essentially the only examples of such valuations are the moment tensor and a tensor derived from L_p surface area measures. This generalizes and unifies earlier results for the scalar, vector and matrix valued case.

Cited by

• SL(n) contravariant tensor valuations of small orders

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