Open Access
September 2010 Minkowski Areas and Valuations
Monika Ludwig
J. Differential Geom. 86(1): 133-162 (September 2010). DOI: 10.4310/jdg/1299766685


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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Monika Ludwig. "Minkowski Areas and Valuations." J. Differential Geom. 86 (1) 133 - 162, September 2010.


Published: September 2010
First available in Project Euclid: 10 March 2011

zbMATH: 1215.52004
MathSciNet: MR2772547
Digital Object Identifier: 10.4310/jdg/1299766685

Rights: Copyright © 2010 Lehigh University

Vol.86 • No. 1 • September 2010
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