On the Distributional Hessian of the Distance Function
Differential Geometry
2016-01-20 v3 Analysis of PDEs
Functional Analysis
Abstract
We describe the precise structure of the distributional Hessian of the distance function from a point of a Riemannian manifold. In doing this we also discuss some geometrical properties of the cutlocus of a point and we compare some different weak notions of Hessian and Laplacian.
Keywords
Cite
@article{arxiv.1303.1421,
title = {On the Distributional Hessian of the Distance Function},
author = {Carlo Mantegazza and Giovanni Mascellani and Gennady Uraltsev},
journal= {arXiv preprint arXiv:1303.1421},
year = {2016}
}