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Description
  • The Brunn-Minkowski theory in convex geometry relies heavily on the notion of mixed volumes. Despite its particular importance, even explicit representations for the mixed volumes of two convex bodies in Euclidean space R-d are available only in special cases. Here we investigate a new integral representation of such mixed volumes, in terms of flag measures of the involved convex sets. A brief introduction to (extended) flag measures of convex bodies is also provided.
  • The Brunn-Minkowski theory in convex geometry relies heavily on the notion of mixed volumes. Despite its particular importance, even explicit representations for the mixed volumes of two convex bodies in Euclidean space R-d are available only in special cases. Here we investigate a new integral representation of such mixed volumes, in terms of flag measures of the involved convex sets. A brief introduction to (extended) flag measures of convex bodies is also provided. (en)
Title
  • A product integral representation of mixed volumes of two convex bodies
  • A product integral representation of mixed volumes of two convex bodies (en)
skos:prefLabel
  • A product integral representation of mixed volumes of two convex bodies
  • A product integral representation of mixed volumes of two convex bodies (en)
skos:notation
  • RIV/00216208:11320/13:10144272!RIV14-GA0-11320___
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  • P(GCP201/10/J039)
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  • 4
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  • 58964
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  • RIV/00216208:11320/13:10144272
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  • generalized curvatures; integral geometry; Grassmannian; flag measures; Mixed volumes (en)
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  • DE - Spolková republika Německo
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  • [22372DEA920A]
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  • Advances in Geometry
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  • 13
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  • Rataj, Jan
  • Hug, Daniel
  • Weil, Wolfgang
http://linked.open...ain/vavai/riv/wos
  • 000325247300006
issn
  • 1615-715X
number of pages
http://bibframe.org/vocab/doi
  • 10.1515/advgeom-2012-0044
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  • 11320
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