Convex valuations invariant under the Lorentz group

2013/01/29 by Alesker, Semyon, Faifman, Dmitry
#Differential Geometry (math.DG) #FOS: Mathematics #Metric Geometry (math.MG)

paper · doi:10.48550/arxiv.1301.6866

Abstract

We give an explicit classification of translation-invariant, Lorentz-invariant continuous valuations on convex sets. We also classify the Lorentz-invariant even generalized valuations.

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