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

DOI10.1090/S0002-9939-06-08755-7zbMath1122.53048MaRDI QIDQ3420020

José Barbosa Gomes, Rafael Oswaldo Ruggiero

Publication date: 1 February 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

rigiditygeodesic flowAnosov flowGodbillon-Vey number

Mathematics Subject Classification ID

Foliations (differential geometric aspects) (53C12) Foliations in differential topology; geometric theory (57R30) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items

Dynamics and the Godbillon-Vey class of \(C^1\) foliations ⋮ Hopf conjecture holds for analytic, \(k\)-basic Finsler tori without conjugate points ⋮ Rigidity of magnetic flows for compact surfaces ⋮ On Finsler surfaces without conjugate points

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