Proceedings of the American Mathematical Society

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ISSN 1088-6826(e) ISSN 0002-9939(p)

Rigidity of surfaces whose geodesic flows preserve smooth foliations of codimension 1

Author(s): José Barbosa Gomes; Rafael O. Ruggiero
Journal: Proc. Amer. Math. Soc. 135 (2007), 507-515.
MSC (2000): Primary 53C24; Secondary 53C22, 57R30, 37D40
Posted: August 28, 2006
MathSciNet review: 2255297
Retrieve article in: PDF

Abstract | References | Similar articles | Additional information

Abstract: Let be a closed orientable surface. Assume that there exists a codimension one foliation $\mathcal F$ of class in the unit tangent bundle of , whose leaves are invariant under the geodesic flow of . Then, the curvature of is a nonpositive constant.

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