Year: 2011
Type: preprint
Abstract: 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.
Source: arXiv (Cornell University)
Authors: Abardia, Judit, Bernig, Andreas
Institution: Goethe University Frankfurt
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2949324990