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Rotation and curvature of a curve on a convex surface

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Literature Cited

  1. A. D. Alexandrov, Intrinsic Geometry of Convex Surfaces [in Russian], Gostekhizdat, Moscow-Leningrad (1948).

    Google Scholar 

  2. V. V. Usov, “On geodesics on convex surfaces,” Candidate's Dissertation, Novosibirsk University, Novosibirsk (1980).

    Google Scholar 

  3. V. A. Zalgaller, “On a class of curves with bounded rotational variations on convex surfaces,” Mat. Sb.,56, No. 6 (1950), 205–214.

    Google Scholar 

  4. V. V. Usov, “On space rotations of curves on convex surfaces,” Sib. Mat. Zh.,27, No. 6, 1427–1430 (1976).

    Google Scholar 

  5. A. D. Milka, “On curves with bounded rotational variation on convex hypersurfaces,” Ukr. Geometr. Sb., No. 3, Kharkov (1966), pp. 67–71.

    Google Scholar 

  6. Yu. F. Borisov, “Parallel translations on smooth surfaces,” Reports of Leningrad State University, Series of Math., Mech., and Astron., No. 7, Part 2 (1958), 160–171.

    Google Scholar 

  7. Yu. F. Borisov, “Parallel translations on smooth surfaces,” Reports of Leningrad State University, Series of Math., Mech., Astron., No. 19, Part 4 (1958), pp. 45–54.

    Google Scholar 

  8. Yu. F. Borisov, “Parallel translations on smooth surfaces,” Reports of Leningrad State University, Series of Math., Mech., and Astron., No. 1, Part 1 (1959), 34–50.

    Google Scholar 

  9. V. V. Usov, “On indicatrices of shortest paths on a convex surface,” Sib. Mat. Zh.,28, No. 4, 899–907 (1977).

    Google Scholar 

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Novosibirsk University. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 31, No. 4, pp. 141–148, July–August, 1990.

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Usov, V.V. Rotation and curvature of a curve on a convex surface. Sib Math J 31, 649–656 (1990). https://doi.org/10.1007/BF00970637

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  • DOI: https://doi.org/10.1007/BF00970637

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