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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33 Citations
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