Projection bodies in complex vector spaces

Details Projection bodies in complex vector spaces Projection bodies in complex vector spaces

2011-01-31

arxiv.org/abs/1101.5927v2

Adv. Math. 227 (2011), 830-846

Mathematics

Differential Geometry

20 pages, minor changes, to appear in Adv. Math

Scientific paper

The space of Minkowski valuations on an m-dimensional complex vector space
which are continuous, translation invariant and contravariant under the complex
special linear group is explicitly described. Each valuation with these
properties is shown to satisfy geometric inequalities of Brunn-Minkowski,
Aleksandrov-Fenchel and Minkowski type.

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