On the Distributional Hessian of the Distance Function
classification
🧮 math.DG
math.APmath.FA
keywords
hessiandistancedistributionalfunctionpointsomecomparecutlocus
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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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