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arXiv:2008.13153 [math.DG]AbstractReferencesReviewsResources

Distance difference functions on non-convex boundaries of Riemannian manifolds

Sergei Ivanov

Published 2020-08-30Version 1

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.

Comments: 9 pages
Categories: math.DG
Subjects: 53C20
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