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The flat strip theorem fails for surfaces with no conjugate points

Published:1992 Issue:1 Volume:115 Page:199-206
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Burns Keith

Abstract

A compact C ∞ {C^\infty } surface with no conjugate points is constructed so that there are two homotopic closed geodesies that do not bound a flat annulus.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1992-115-01/S0002-9939-1992-1093593-0/S0002-9939-1992-1093593-0.pdf

Reference8 articles.

1. On surfaces with no conjugate points;Ballmann, W.;J. Differential Geom.,1987

2. Manifolds of negative curvature;Bishop, R. L.;Trans. Amer. Math. Soc.,1969

3. Visibility manifolds;Eberlein, P.;Pacific J. Math.,1973

4. Horospheres and the stable part of the geodesic flow;Eschenburg, Jost-Hinrich;Math. Z.,1977

5. On the variety of manifolds without conjugate points;Gulliver, Robert;Trans. Amer. Math. Soc.,1975

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