A Generalized Affine Isoperimetric Inequality
Wenxiong Chen, Ralph Howard, Erwin Lutwak, Deane Yang, Gaoyong Zhang
Abstract
A purely analytic proof is given for an inequality that has as a direct consequence the two most important affine isoperimetric inequalities of plane convex geometry: The Blaschke-Santalo inequality and the affine isoperimetric inequality of affine differential geometry.
Create a lesson
Related papers
The Bézout inequality for mixed volumes characterizes simplices
Dylan Langharst, Shouda Wang
Affine dual Minkowski problem for general measures
Cheng Zhang, Hailin Jin
Algebraically independent distances and rigid metrics
Yoshito Ishiki
On the Geometry of Wasserstein Barycenter II: Riemannian Rigidity, Essential Non-Branching, and Finsler Models
Bang-Xian Han, Deng-Yu Liu
A Weak Topology on Metric Spaces
Armando W. Gutiérrez, Olavi Nevanlinna
Uncentered Blaschke-Santaló inequalities for the Gaussian measure
S. Artstein-Avidan, M. Fradelizi, K. Wyczesany