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The Steiner formula for Minkowski valuations

A Steiner type formula for continuous translation invariant Minkowski valuations is established. In combination with a recent result on the symmetry of rigid motion invariant homogeneous bivaluations, this new Steiner type formula is used to obtain a family of Brunn–Minkowski type inequalities for r...

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Detalles Bibliográficos
Autores principales: Parapatits, Lukas, Schuster, Franz E.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Academic Press 2012
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3587403/
https://www.ncbi.nlm.nih.gov/pubmed/23471239
http://dx.doi.org/10.1016/j.aim.2012.03.024
Descripción
Sumario:A Steiner type formula for continuous translation invariant Minkowski valuations is established. In combination with a recent result on the symmetry of rigid motion invariant homogeneous bivaluations, this new Steiner type formula is used to obtain a family of Brunn–Minkowski type inequalities for rigid motion intertwining Minkowski valuations.