Distance difference functions on nonconvex boundaries of Riemannian manifolds
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S. V. Ivanov
Translated by: the author - St. Petersburg Math. J. 33 (2022), 57-64
- DOI: https://doi.org/10.1090/spmj/1689
- Published electronically: December 28, 2021
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Abstract:
It is shown that a complete Riemannian manifold with boundary is uniquely determined, up to isometry, by its distance difference representation on the boundary. Unlike previously known results, no restrictions on the boundary are imposed.References
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Bibliographic Information
- S. V. Ivanov
- Affiliation: St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, Fontanka 27, St. Petersburg 191023, Russia; St. Petersburg State University, Universitetskaya emb. 7/9, St. Petersburg 199034, Russia
- MR Author ID: 337168
- Email: svivanov@pdmi.ras.ru
- Received by editor(s): August 3, 2020
- Published electronically: December 28, 2021
- Additional Notes: Research is supported by the Russian Science Foundation grant 16-11-10039
- © Copyright 2021 American Mathematical Society
- Journal: St. Petersburg Math. J. 33 (2022), 57-64
- MSC (2020): Primary 53C20
- DOI: https://doi.org/10.1090/spmj/1689
- MathSciNet review: 4219505