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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

The flat strip theorem fails for surfaces with no conjugate points


Author: Keith Burns
Journal: Proc. Amer. Math. Soc. 115 (1992), 199-206
MSC: Primary 53C20; Secondary 53C22
MathSciNet review: 1093593
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Abstract: A compact $ {C^\infty }$ surface with no conjugate points is constructed so that there are two homotopic closed geodesies that do not bound a flat annulus.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1992-1093593-0
PII: S 0002-9939(1992)1093593-0
Keywords: No conjugate points, flat strip theorem
Article copyright: © Copyright 1992 American Mathematical Society