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arXiv · 1207.6481

The module of unitarily invariant area measures

Thomas Wannerer
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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.

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Thomas Wannerer. 2013-07-15. The module of unitarily invariant area measures. https://arxiv.org/abs/1207.6481

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