Let Kn be the set of all convex bodies in ℝn endowed with the Hausdorff distance. We prove that if K ∈ Kn has positive generalized Gauss curvature at some point of its boundary, then K is not a local maximizer for the isotropy constant LK.
|Number of pages||13|
|Journal||Proceedings of the American Mathematical Society|
|State||Published - 2016|
Bibliographical notePublisher Copyright:
© 2016 American Mathematical Society.
- Convex bodies
ASJC Scopus subject areas
- Mathematics (all)
- Applied Mathematics