On the geodesic flow of tori without conjugate points

DOI10.1007/BF02572318zbMath0807.53039MaRDI QIDQ1340921

Jens Heber

Publication date: 21 December 1994

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174647

zbMATH Keywords

conjugate pointsgeodesic flowLipschitz Lagrangian toriRiemannian torus

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Geodesics in global differential geometry (53C22) Global Riemannian geometry, including pinching (53C20) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (9)

An entropic characterization of the flat metrics on the two torus ⋮ On tori without conjugate points ⋮ Central splitting of manifolds with no conjugate points ⋮ Hopf conjecture holds for analytic, \(k\)-basic Finsler tori without conjugate points ⋮ The integrability of symplectic twist maps without conjugate points ⋮ Examples of Finsler metrics without conjugate points: Metrics of revolution ⋮ On total flexibility of local structures of Finsler tori without conjugate points ⋮ Variational properties of a nonlinear elliptic equation and rigidity ⋮ Tonelli Hamiltonians without conjugate points and \(C^0\) integrability

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