The module of unitarily invariant area measures
classification
🧮 math.DG
keywords
areameasuresinvariantmoduleunitarilysmoothvaluationsaleksandrov
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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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