Abstract
The hermitian analog of Aleksandrov’s area measures of convex bodies is investigated. A characterization of those area measures which arise as the first variation of unitarily invariant valuations is established. General smooth area measures are shown to form a module over smooth valuations and the module of unitarily invariant area measures is described explicitly.
Citation
Thomas Wannerer. "The module of unitarily invariant area measures." J. Differential Geom. 96 (1) 141 - 182, January 2014. https://doi.org/10.4310/jdg/1391192695
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