Minkowski Areas and Valuations
Ludwig, Monika
J. Differential Geom., Tome 84 (2010) no. 1, p. 133-162 / Harvested from Project Euclid
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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.
Publié le : 2010-09-15
Classification:  
@article{1299766685,
     author = {Ludwig, Monika},
     title = {Minkowski Areas and Valuations},
     journal = {J. Differential Geom.},
     volume = {84},
     number = {1},
     year = {2010},
     pages = { 133-162},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1299766685}
}

Ludwig, Monika. Minkowski Areas and Valuations. J. Differential Geom., Tome 84 (2010) no. 1, pp.  133-162. http://gdmltest.u-ga.fr/item/1299766685/