Volume inequalities for asymmetric Wulff shapes

Preprint, Other literature type English OPEN
Schuster, Franz E. ; Weberndorfer, Manuel (2011)
  • Publisher: Lehigh University
  • Journal: (issn: 0022-040X)
  • Subject: 52A40 | Mathematics - Differential Geometry
    arxiv: Mathematics::Metric Geometry

Sharp reverse affine isoperimetric inequalities for asymmetric Wulff shapes and their polars are established, along with the characterization of all extremals. These new inequalities have as special cases previously obtained simplex inequalities by Ball, Barthe and Lutwak, Yang, and Zhang. In particular, they provide the solution to a problem by Zhang.
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