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.
On the Distributional Hessian of the Distance Function
MANTEGAZZA, Carlo Maria;MASCELLANI, GIOVANNI;URALTSEV, GENNADY
2014
Abstract
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.File in questo prodotto:
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