On the Distributional Hessian of the Distance Function

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.

References in corpus (1)

• Hamilton-Jacobi Equations and Distance Functions on Riemannian Manifolds

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