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Nonexistence of closed asymptotic lines on a class of tubes with negative curvature

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Literature Cited

  1. L. Nirenberg, “Rigidity of a class of closed surfaces. Nonlinear problem,” in: Proc. Symp., Math. Res. Center, Madison, Wis. (1962), pp. 177–199.

  2. G. A. Kovaleva, “On closed asymptotic lines on tubes of negative curvature,” in: Second All-Union Symposium Global Geometry, Petrozavodsk (1967), pp. 39–41.

  3. F. Hartman, Ordinary Differential Equations, S. M. Hartman.

  4. B. E. Kantor, “On global regularity of nets in the plane,” Geometry [in Russian], Vol. 3, Izd. Leningr. Pedagog. Inst., Leningrad (1975), pp. 41–51.

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  5. I. N. Vekua, Generalized Analytic Functions [in Russian], Fizmatgiz, Moscow (1959).

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  6. É. R. Rozendorn, “Sufficient conditions for global regularity of curves on a Euclidean surface,” Mat. Sb.,96, No. 1, 118–134 (1975).

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Authors
  1. B. E. Kantor
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Additional information

A. M. Gertsen State Pedagogic Institute, Leningrad. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 21, No. 6, November–December, 1980.

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Kantor, B.E. Nonexistence of closed asymptotic lines on a class of tubes with negative curvature. Sib Math J 21, 768–773 (1980). https://doi.org/10.1007/BF00968463

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  • DOI: https://doi.org/10.1007/BF00968463

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