# ON THE DISTRIBUTIONAL HESSIAN OF THE DISTANCE FUNCTION

@article{Mantegazza2013ONTD, title={ON THE DISTRIBUTIONAL HESSIAN OF THE DISTANCE FUNCTION}, author={Carlo Mantegazza and Giovanni Mascellani and Gennady N. Uraltsev}, journal={Pacific Journal of Mathematics}, year={2013}, volume={270}, pages={151-166} }

We describe the precise structure of the distributional Hessian of the distance function from a point of a Riemannian manifold. At the same time we discuss some geometrical properties of the cut locus of a point, and compare some different weak notions of the Hessian and Laplacian.

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