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The phase length of a smooth curve and the Fenchel-Reshetnyak inequality

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References

  1. W. Fenchel, “Über Krümmung und Windung geschlossener Raumkurven,” Math. Ann., Bd 101, H. 2–3, 238–252 (1929).

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  2. A. D. Alexandrov and Yu. G. Reshetnyak, “Swerve of a curve inn-dimensional Euclidean space,” Sibirsk. Mat. Zh.,29, No. 1, 3–22 (1988).

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  3. A. D. Alexandrov, “The theory of curves which is based on approximation by polygonal lines,” Uspekhi Mat. Nauk,19, No. 2, 182–184 (1947).

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Authors
  1. V. V. Ivanov
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Additional information

On the occasion of the 70th anniversary of Yu. G. Reshetnyak.

Novosibirsk. Translated fromSibirskiî Matematicheskiî Zhurnal, Vol. 40, No. 4, pp. 824–832, July–August, 1999.

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Ivanov, V.V. The phase length of a smooth curve and the Fenchel-Reshetnyak inequality. Sib Math J 40, 695–703 (1999). https://doi.org/10.1007/BF02675670

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  • DOI: https://doi.org/10.1007/BF02675670

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