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:
Article
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
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author Parapatits, Lukas
Schuster, Franz E.
author_facet Parapatits, Lukas
Schuster, Franz E.
author_sort Parapatits, Lukas
collection PubMed
description 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.
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spelling pubmed-35874032013-03-05 The Steiner formula for Minkowski valuations Parapatits, Lukas Schuster, Franz E. Adv Math (N Y) Article 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. Academic Press 2012-06-20 /pmc/articles/PMC3587403/ /pubmed/23471239 http://dx.doi.org/10.1016/j.aim.2012.03.024 Text en © 2012 Elsevier Inc. https://creativecommons.org/licenses/by-nc-nd/3.0/ Open Access under CC BY-NC-ND 3.0 (https://creativecommons.org/licenses/by-nc-nd/3.0/) license
spellingShingle Article
Parapatits, Lukas
Schuster, Franz E.
The Steiner formula for Minkowski valuations
title The Steiner formula for Minkowski valuations
title_full The Steiner formula for Minkowski valuations
title_fullStr The Steiner formula for Minkowski valuations
title_full_unstemmed The Steiner formula for Minkowski valuations
title_short The Steiner formula for Minkowski valuations
title_sort steiner formula for minkowski valuations
topic Article
url 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
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