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Divergence properties of curvatures of a vector field and a family of surfaces

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Abstract

A representation in divergent form is given for the total curvature and mean curvature of a vector field.

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Literature cited

  1. S. S. Byushgens, “The geometry of a vector field,” Izv. Akad. Nauk SSSR, Ser. Matem.,10, 73–96 (1946).

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Authors and Affiliations

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

    Yu. A. Aminov

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  1. Yu. A. Aminov
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Translated from Matematicheskie Zametki, Vol. 3, No. 1, pp. 103–111, January, 1968.

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Aminov, Y.A. Divergence properties of curvatures of a vector field and a family of surfaces. Mathematical Notes of the Academy of Sciences of the USSR 3, 61–65 (1968). https://doi.org/10.1007/BF01386968

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  • DOI: https://doi.org/10.1007/BF01386968

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