General Lp affine isoperimetric inequalities
Differential Geometry
2008-09-12 v1 Functional Analysis
Abstract
Sharp Lp affine isoperimetric inequalities are established for the entire class of Lp projection bodies and the entire class of Lp centroid bodies. These new inequalities strengthen the Lp Petty projection and the Lp Busemann--Petty centroid inequality.
Keywords
Cite
@article{arxiv.0809.1983,
title = {General Lp affine isoperimetric inequalities},
author = {Christoph Haberl and Franz E. Schuster},
journal= {arXiv preprint arXiv:0809.1983},
year = {2008}
}