Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5778550 | Advances in Mathematics | 2017 | 60 Pages |
Abstract
All measurable SL(n)-covariant symmetric tensor valuations on convex polytopes containing the origin in their interiors are completely classified. It is shown that essentially the only examples of such valuations are the moment tensor and a tensor derived from Lp surface area measures. This generalizes and unifies earlier results for the scalar, vector and matrix valued case.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Christoph Haberl, Lukas Parapatits,