AMS :: St. Petersburg Mathematical Journal

St. Petersburg Mathematical Journal

This journal is a cover-to-cover translation into English of Algebra i Analiz, published six times a year by the mathematics section of the Russian Academy of Sciences.

ISSN 1547-7371 (online) ISSN 1061-0022 (print)

The 2024 MCQ for St. Petersburg Mathematical Journal is 0.68.

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Distance difference functions on nonconvex boundaries of Riemannian manifolds
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by 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.

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