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
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