Distance difference functions on non-convex boundaries of Riemannian manifolds
Differential Geometry
2020-09-01 v1
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.
Cite
@article{arxiv.2008.13153,
title = {Distance difference functions on non-convex boundaries of Riemannian manifolds},
author = {Sergei Ivanov},
journal= {arXiv preprint arXiv:2008.13153},
year = {2020}
}
Comments
9 pages