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The Total Absolute Curvature of Nonclosed Curves in S 2, (II)

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Abstract

Extending the results in [1], we determine the shape of the curve in S 2 which minimize the total absolute curvature in the set of nonclosed curves with fixed endpoints, end-directions and length. We deal with a more general class of curves than in [1].

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References

  1. Enomoto, K. and Itoh, J.: The total absolute curvature of nonclosed curves in S2, to appear in Results in Mathematics.

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Authors and Affiliations

  1. Faculty of Industrial Science and Technology, Tokyo University of Science, Oshamambe, Hokkaido, 049-3514, Japan

    Kazuyuki Enomoto

  2. Faculty of Education, Kumamoto University, Kumamoto, Kumamoto, 860-8555, Japan

    Jin-ichi Itoh

Authors
  1. Kazuyuki Enomoto
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  2. Jin-ichi Itoh
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Correspondence to Kazuyuki Enomoto.

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Enomoto, K., Itoh, Ji. The Total Absolute Curvature of Nonclosed Curves in S 2, (II). Results. Math. 45, 230–240 (2004). https://doi.org/10.1007/BF03323378

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  • DOI: https://doi.org/10.1007/BF03323378

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