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Matematicheskie Zametki, 1974, Volume 16, Issue 4, Pages 611–617 (Mi mzm7501)  

On the problem of determining the Riemannian metric $ds^2=\lambda^2(x)|dx|^2$

Yu. E. Anikonov

Computer Centre of USSR Academy of Sciences, Siberian Branch
Abstract: We study the problem of determining the Riemannian metric, defined in a domain, if the distances in this metric between points of the boundary of the domain are known.
Received: 08.08.1972
English version:
Mathematical Notes, 1974, Volume 16, Issue 4, Pages 956–960
DOI: https://doi.org/10.1007/BF01104263
Bibliographic databases:
UDC: 513
Language: Russian
Citation: Yu. E. Anikonov, “On the problem of determining the Riemannian metric $ds^2=\lambda^2(x)|dx|^2$”, Mat. Zametki, 16:4 (1974), 611–617; Math. Notes, 16:4 (1974), 956–960
Citation in format AMSBIB
\Bibitem{Ani74}
\by Yu.~E.~Anikonov
\paper On the problem of determining the Riemannian metric $ds^2=\lambda^2(x)|dx|^2$
\jour Mat. Zametki
\yr 1974
\vol 16
\issue 4
\pages 611--617
\mathnet{http://mi.mathnet.ru/mzm7501}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=375146}
\zmath{https://zbmath.org/?q=an:0311.53027}
\transl
\jour Math. Notes
\yr 1974
\vol 16
\issue 4
\pages 956--960
\crossref{https://doi.org/10.1007/BF01104263}
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