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A proof of the isosystolic inequality for the Klein bottle


Author: Takashi Sakai
Journal: Proc. Amer. Math. Soc. 104 (1988), 589-590
MSC: Primary 53C20
DOI: https://doi.org/10.1090/S0002-9939-1988-0962833-7
MathSciNet review: 962833
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Abstract: We give a simple proof of the isosystolic inequality for the Klein bottle, which was first obtained by C. Bavard.


References [Enhancements On Off] (What's this?)

  • [1] C. Bavard, Inégalité isosystolique pour la bouteille de Klein, Math. Ann. 274 (1986), 439-441. MR 842624 (87i:53059)
  • [2] C. Blatter, Zur Riemannschen Geometrie in Grossen auf der Möbius band, Compositio Math. 15 (1961), 88-107. MR 0140060 (25:3484)
  • [3] P. Pu, Some inequalities in certain non-orientable Riemannian manifolds, Pacific J. Math. 2 (1952), 55-72. MR 0048886 (14:87e)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1988-0962833-7
Keywords: Klein bottle, isosystolic inequality
Article copyright: © Copyright 1988 American Mathematical Society

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