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SL( n )‐covariant L p ‐Minkowski valuations
Author(s) -
Parapatits Lukas
Publication year - 2014
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/jdt068
Subject(s) - covariant transformation , minkowski space , mathematics , regular polygon , pure mathematics , moment (physics) , minkowski addition , combinatorics , mathematical physics , physics , geometry , classical mechanics
All continuousSL ( n ) ‐covariant L p ‐Minkowski valuations defined on convex bodies are completely classified. The L p ‐moment body operators turn out to be the nontrivial prototypes of such maps.