Volume inequalities for asymmetric Wulff shapes
Preprint, Other literature type
Schuster, Franz E.
- Publisher: Lehigh University
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.