Blaschke's rolling ball theorem and the Trudinger-Wang monotone bending
Analysis of PDEs
2015-12-29 v1
Abstract
We revisit the classical rolling ball theorem of Blaschke for convex surfaces with positive curvature and show that it is linked to another inclusion principle in the optimal mass transportation theory due to Trudinger and Wang. We also discuss an application to reflector antennae design problem.
Keywords
Cite
@article{arxiv.1512.08161,
title = {Blaschke's rolling ball theorem and the Trudinger-Wang monotone bending},
author = {Aram L. Karakhanyan},
journal= {arXiv preprint arXiv:1512.08161},
year = {2015}
}