Centro-Affine Invariants for Smooth Convex Bodies
Differential Geometry
2010-11-24 v1
Abstract
Employing a centro-affine flow on smooth convex bodies, we generate new centro-affine differential invariants. One class of the newly defined invariants is the object of a sharp isoperimetric inequality, while other new inequalities on known centro-affine invariants are obtained as a byproduct of the flow's study. Furthermore, this approach led to a geometric interpretation of a new affine surface area recently introduced by Ludwig and Reitzner.
Cite
@article{arxiv.1011.4980,
title = {Centro-Affine Invariants for Smooth Convex Bodies},
author = {Alina Stancu},
journal= {arXiv preprint arXiv:1011.4980},
year = {2010}
}
Comments
21 pages