Volume inequalities for asymmetric Wulff shapes

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.

• Publication year

  2011

• Venue

  arXiv: Differential Geometry

• Publication date

  2011-10-10

• Fields of study

  Mathematics

• Identifiers
  DOI 10.4310/JDG/1352297808arXiv 1110.2069
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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