Natural Lagrangian systems without conjugate points

DOI10.1017/S0143385700007781zbMath0802.58020OpenAlexW1981609835MaRDI QIDQ4290208

Nobuhiro Innami

Publication date: 19 December 1994

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0143385700007781

zbMATH Keywords

entropyRiemannian manifoldscalar curvatureJacobi fieldsLagrangian system

Mathematics Subject Classification ID

Variational principles in infinite-dimensional spaces (58E30) Entropy and other invariants (28D20) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (1)

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Cites Work

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• A new curvature invariant and entropy of geodesic flows
• Equations for the entropy of a geodesic flow on a compact Riemannian manifold without conjugate points
• A theorem of E. Hopf
• CHARACTERISTIC LYAPUNOV EXPONENTS AND SMOOTH ERGODIC THEORY
• Closed Surfaces Without Conjugate Points

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