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On the length of linked curves

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Abstract

If two curves inR 3 are linked and at distance 1 from each other then each is of length 2π at least.

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References

  1. F. W. Gehring, Problem 7.22 inContributions to Analysis, A Collection of Papers Dedicated to Lipman Bers, Academic Press, New York and London, 1974.

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  2. R. A. Horn,On Fenchel's theorem. Amer. Math. Monthly78 (1971), 380–381.

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Authors and Affiliations

  1. Dalhousie University, Halifax, N. S.

    Michael Edelstein & Binyamin Schwarz

Authors
  1. Michael Edelstein
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  2. Binyamin Schwarz
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Edelstein, M., Schwarz, B. On the length of linked curves. Israel J. Math. 23, 94–95 (1976). https://doi.org/10.1007/BF02757236

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  • DOI: https://doi.org/10.1007/BF02757236

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