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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A proof of the isosystolic inequality for the Klein bottle
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by Takashi Sakai PDF
Proc. Amer. Math. Soc. 104 (1988), 589-590 Request permission

Abstract:

We give a simple proof of the isosystolic inequality for the Klein bottle, which was first obtained by C. Bavard.
References
  • C. Bavard, Inégalité isosystolique pour la bouteille de Klein, Math. Ann. 274 (1986), no. 3, 439–441 (French). MR 842624, DOI 10.1007/BF01457227
  • Christian Blatter, Zur Riemannschen Geometrie im Grossen auf dem Möbiusband, Compositio Math. 15 (1961), 88–107 (1961) (German). MR 140060
  • P. M. Pu, Some inequalities in certain nonorientable Riemannian manifolds, Pacific J. Math. 2 (1952), 55–71. MR 48886
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Additional Information
  • © Copyright 1988 American Mathematical Society
  • 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