Minkowski areas and valuations

Monika Ludwig Technische Universit¨at Wien

Differential Geometry mathscidoc:1609.10194

j. differential geometry, 86, (1), 133-161, 2010
All continuous GL(n) covariant valuations that map convex bodies to convex bodies are completely classified. This establishes a characterization of moment and projection operators and shows that the Holmes-Thompson area is the unique Minkowski area that is also a bivaluation.
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@inproceedings{monika2010minkowski,
  title={MINKOWSKI AREAS AND VALUATIONS},
  author={Monika Ludwig},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160911224123749815851},
  booktitle={j. differential geometry},
  volume={86},
  number={1},
  pages={133-161},
  year={2010},
}
Monika Ludwig. MINKOWSKI AREAS AND VALUATIONS. 2010. Vol. 86. In j. differential geometry. pp.133-161. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160911224123749815851.
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