Mean Value Theorems for Riemannian Manifolds via the Obstacle Problem
Differential Geometry
2017-04-26 v1 Analysis of PDEs
Abstract
We develop some of the basic theory for the obstacle problem on Riemannian Manifolds, and we use it to establish a mean value theorem. Our mean value theorem works for a very wide class of Riemannian manifolds and has no weights at all within the integral.
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Cite
@article{arxiv.1704.07518,
title = {Mean Value Theorems for Riemannian Manifolds via the Obstacle Problem},
author = {Brian Benson and Ivan Blank and Jeremy LeCrone},
journal= {arXiv preprint arXiv:1704.07518},
year = {2017}
}
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24 pages