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arXiv · 1911.07479

Laplacian of the distance function on the cut locus on a riemannian manifold

François Générau
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Abstract

We show that, on a smooth riemannian manifold, the laplacian of the distance function to a point $b$ is $-\infty$ in the sense of barriers, at every point of the cut locus with respect to $b$.

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François Générau. 2019-12-16. Laplacian of the distance function on the cut locus on a riemannian manifold. https://doi.org/10.1088/1361-6544%2Fab7d23

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