On a characterization of flat metrics on \(2\)-torus

DOI10.1007/BF02259624zbMath0943.53022MaRDI QIDQ1972711

I. V. Polterovich

Publication date: 13 April 2000

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

zbMATH Keywords

conjugate pointsflat torusGaussian curvature

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Global Riemannian geometry, including pinching (53C20)

Related Items (1)

MINIMAL GEODESIC FOLIATION ON T² IN CASE OF VANISHING TOPOLOGICAL ENTROPY

Cites Work

• Lagrangian singularities of invariant tori of Hamiltonian systems with two degrees of freedom
• Riemannian tori without conjugate points are flat
• Closed Surfaces Without Conjugate Points
• Surfaces Without Conjugate Points
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