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Level surfaces of a function defining a Riemann metric

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Abstract

A result concerning the unique determination of a closed convex level surface of a function defining a Riemann metric, if the distance in this metric from the surface to some fixed surface is known.

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Literature cited

  1. M. A. Lavrent'ev and L. A. Lyusternik, Elements of the Calculus of Variations [in Russian], Vol. 1, Part 2, Moscow-Leningrad (1935).

  2. A. V. Pogorelov, Infinitesimal Curvatures of General Convex Surfaces [in Russian], Khar'kov (1959).

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Authors and Affiliations

  1. Computing Center, Siberian Branch, Academy of Sciences of the USSR, USSR

    Yu. E. Anikonov

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  1. Yu. E. Anikonov
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Translated from Matematicheskie Zametki, Vol. 9, No. 6, pp. 709–711, June, 1971.

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Anikonov, Y.E. Level surfaces of a function defining a Riemann metric. Mathematical Notes of the Academy of Sciences of the USSR 9, 410–411 (1971). https://doi.org/10.1007/BF01094586

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  • DOI: https://doi.org/10.1007/BF01094586

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