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arXiv · 1303.1421

On the Distributional Hessian of the Distance Function

Carlo Mantegazza·Giovanni Mascellani·Gennady Uraltsev
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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.

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Carlo Mantegazza, Giovanni Mascellani, Gennady Uraltsev. 2013-03-06. On the Distributional Hessian of the Distance Function. https://doi.org/10.2140/pjm.2014.270.151

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