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One isoperimetric property of contraction mappings

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Literature Cited

  1. I. Ya. Bakel'man, A. L. Verner, and B. E. Kantor, Introduction to Differential Geometry, “In-the-Large” [in Russian], Nauka, Moscow (1973).

    Google Scholar 

  2. A. D. Aleksandrov, Intrinsic Geometry of Convex Surfaces [in Russian], OGIZ, Moscow-Leningrad (1948).

    Google Scholar 

  3. V. A. Toponogov, “Estimate of the length of a closed geodesic on a convex surface,” Dokl. Akad. Nauk SSSR,124, No. 2, 282–284 (1959).

    Google Scholar 

  4. B. Ya. Pirogov, “Extremal case of A. V. Pogorelov's theorem for general convex surfaces,” Sib. Mat. Zh.,15, No. 6, 1416–1418 (1974).

    Google Scholar 

  5. Yu. G. Reshetnyak, “On the theory of spaces of curvature no greater than K,” Mat. Sb.,52, No. 3, 789–798 (1960).

    Google Scholar 

  6. A. D. Aleksandrov and V. A. Zalgaller, “Two-dimensional manifolds of bounded curvature,” Tr. Mat. Inst. Akad. Nauk SSSR,63 (1961).

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Electric Engineering Institute, Novosibirsk. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 20, No. 1. pp. 196–198, January–February, 1979.

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Burov, A.N. One isoperimetric property of contraction mappings. Sib Math J 20, 142–144 (1979). https://doi.org/10.1007/BF00976140

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  • DOI: https://doi.org/10.1007/BF00976140

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