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Integral curvatures, oscillation and rotation of spatial curves around affine subspaces

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Abstract

The main result of the paper is an upper bound for the oscillation of spatial curves around geodesic subspaces of the ambient space in terms of the integral geodesic curvatures of the curves.

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Author notes

  1. D. Novikov & S. Yakovenko

    Present address: Department of Theoretical Mathematics, The Weizmann Institute of Science, 76100, Rehovot, Israel

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    1. D. Novikov
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    2. S. Yakovenko
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    Additional information

    The second author is an incumbent of the Elaine Blond Career Development Chair. The research was partially supported by the Minerva Foundation.

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    Novikov, D., Yakovenko, S. Integral curvatures, oscillation and rotation of spatial curves around affine subspaces. Journal of Dynamical and Control Systems 2, 157–191 (1996). https://doi.org/10.1007/BF02259525

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