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The rigidity of “corrugated” surfaces of revolution

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Abstract

The rigidity is proven of certain surfaces of revolution with infinite alternation of portions of positive and negative curvature.

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Literature cited

  1. N. V. Efimov and Z. D. Usmanov, “Infinitely small bendings of surfaces with points of accumulation,” Dokl. Akad. Nauk SSSR,208, No. 1, 28–31 (1973).

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  3. A. I. Achil'diev and Z. D. Usmanov, “Rigidity of surfaces with points of accumulation,” Matem. Sb.,73, No. 1, 89–96 (1967).

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Authors and Affiliations

  1. M. V. Lomonosov Moscow State University, USSR

    I. Kh. Sabitov

Authors
  1. I. Kh. Sabitov
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Translated from Matematicheskie Zametki, Vol. 14, No. 4, pp. 517–522, October, 1973.

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Sabitov, I.K. The rigidity of “corrugated” surfaces of revolution. Mathematical Notes of the Academy of Sciences of the USSR 14, 854–857 (1973). https://doi.org/10.1007/BF01108812

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  • DOI: https://doi.org/10.1007/BF01108812

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