GL(n) equivariant Minkowski valuations
By Thomas Wannerer. 2013
102 citations recorded by the source corpus.
A classification of all continuous GL(n) equivariant Minkowski valuations on convex bodies in $\mathbb{R}^n$ is established. Together with recent results of F.E. Schuster and the author, this article therefore completes the description of all continuous GL(n) intertwining Minkowski valuations.
Subfields: Applied Mathematics
View Paper: https://www.semanticscholar.org/paper/d8c1e7a6c9bca9e0801676b6cc60c6fbe6cd1e8c
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In Applied Mathematics
- Thomas Wannerer
- Monika Ludwig
- Franz E. Schuster
- Yiming Zhao
- Christoph Haberl
- Judit Abardia
- Lukas Parapatits
- Deane Yang
Citations in the corpus
- Minkowski valuations and generalized valuations (2015, background): “In a more recent influential article, Ludwig [41] coined the name Minkowski valuations for such maps and started a line of research concerned with the classification of Minkowski valuations intertwining linear transformations, see [1, 2, 30, 40, 42, 61, 65].”
- Valuations on Sobolev spaces (2012, background): “See [25, 30, 47, 48] for information on the classical theory of valuations on convex bodies and [1, 2, 3, 4, 5, 9, 16, 21, 20, 22, 23, 33, 34, 35, 38, 39, 51, 53, 54, 58] for some of the more recent results.”