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Transformations of R-surfaces of Euclidean space preserving their Grassman image

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Literature cited

  1. K. Kommerel, “Riemannsche Flächen im ebenen Raum von vier Dimensionen,” Mat. Ann.,60, 546–596 (1905).

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  2. Y. Muto, “Deformability of a submanifold in a euclidean space whose image by the Gauss map is fixed,” Proc. Am. Math. Soc.,76, No. 1, 140–144 (1979).

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  3. B. V. Shabat, Introduction to Complex Analysis [in Russian], Part II, Nauka, Moscow (1976).

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  4. L. P. Eisenhart, Riemannian Geometry [Russian translation], Gos. Inst. Inostr. Lit. (GILL), Moscow (1948).

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Authors and Affiliations

  1. Volgograd State University, USSR

    A. N. Zubkov & V. T. Fomenko

  2. Taganorsk Pedagogical Institute, USSR

    A. N. Zubkov & V. T. Fomenko

Authors
  1. A. N. Zubkov
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  2. V. T. Fomenko
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Additional information

Translated from Matematicheskie Zametki, Vol. 45, No. 1, pp. 20–27, January, 1989.

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Zubkov, A.N., Fomenko, V.T. Transformations of R-surfaces of Euclidean space preserving their Grassman image. Mathematical Notes of the Academy of Sciences of the USSR 45, 14–19 (1989). https://doi.org/10.1007/BF01158710

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  • DOI: https://doi.org/10.1007/BF01158710

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