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Evolute of a nonregular curve in a space with affine connection

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Literature Cited

  1. Yu. G. Reshetnyak, “Parallel transport along a nonregular curve in a principal bundle”, Sib. Mat. Zh.,13, No. 5, 1067–1090 (1972).

    Google Scholar 

  2. Yu. G. Reshetnyak, “Lift of a nonregular path into a fibered manifold and its applications”, Sib. Mat. Zh.,16, No. 3, 588–598 (1975).

    Google Scholar 

  3. Yu. F. Borisov, “Parallel transport on a smooth surface. Part I”, Vestn. Leningr. Gos. Univ. Mat., Mekh., Astron.,2, No. 7, 160–171 (1958); Part II, Vestn. Leningr. Gos. Univ. Mat., Mekh., Astron.,19, No. 19, 45–54 (1958); Part III, Vestn. Leningr. Gos. Univ. Mat., Mekh., Astron.,1, No. 1, 34–50 (1959); Part IV, Vestn. Leningr. Gos. Univ. Mat., Mekh., Astron.,3, No. 13, 83–92 (1959).

    Google Scholar 

  4. Yu. F. Borisov, “Parallel transport on a smooth surface and connection between the spatial form of smooth surfaces and their intrinsic metric”, Vestn. Leningr. Gos. Univ., Mat., Mekh., Astron.,4, No. 19, 127–129 (1959).

    Google Scholar 

  5. Yu. F. Borisov, “Parallel transport along a Hölder curve in a Riemannian space”, Dokl. Akad. Nauk SSSR,197, No. 5, 995–998 (1971).

    Google Scholar 

  6. P. K. Rashevskii, Riemannian Geometry and Tensor Analysis [in Russian], Nauka, Moscow (1967).

    Google Scholar 

  7. S. Kobayashi and K. Nomizu, Foundations of Differential Geometry [Russian translation], Vol. 1, Nauka, Moscow (1981).

    Google Scholar 

  8. I. F. Mainik, “Curves in reductive spaces”, Dokl. Akad. Nauk SSSR,235, No. 3, 531–533 (1977).

    Google Scholar 

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Authors
  1. Yu. G. Reshetnyak
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Additional information

Novosibirsk. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 30, No. 5, pp. 9–15, September–October, 1989.

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Reshetnyak, Y.G. Evolute of a nonregular curve in a space with affine connection. Sib Math J 30, 673–677 (1989). https://doi.org/10.1007/BF00971256

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  • DOI: https://doi.org/10.1007/BF00971256

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