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arXiv · 2008.13153

Distance difference functions on non-convex boundaries of Riemannian manifolds

Sergei Ivanov
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Abstract

We show that a complete Riemannian manifold with boundary is uniquely determined, up to an isometry, by its distance difference representation on the boundary. Unlike previously known results, we do not impose any restrictions on the boundary.

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Sergei Ivanov. 2020-08-30. Distance difference functions on non-convex boundaries of Riemannian manifolds. https://arxiv.org/abs/2008.13153

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