Equations for the entropy of a geodesic flow on a compact Riemannian manifold without conjugate points

DOI10.1007/BF01099169zbMath0411.58016OpenAlexW1969480304WikidataQ115394069 ScholiaQ115394069MaRDI QIDQ1259338

Ya. B. Pesin

Publication date: 1979

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01099169

zbMATH Keywords

entropyLyapunov exponentsconjugate pointsgeodesic flow

Mathematics Subject Classification ID

Entropy and other invariants (28D20) Geodesics in global differential geometry (53C22) Global Riemannian geometry, including pinching (53C20) Geodesic flows in symplectic geometry and contact geometry (53D25) Ergodic theory (37A99) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items

Ergodic properties of equilibrium measures for smooth three dimensional flows, Natural Lagrangian systems without conjugate points, An estimate for the measure theoretic entropy of geodesic flows, On the entropy of the geodesic flow in manifolds without conjugate points, Anatole Katok, Minimal entropy and Mostow's rigidity theorems, Hyperbolic behaviour of geodesic flows on manifolds with no focal points, Differentiability, rigidity and Godbillon-Vey classes for Anosov flows, Unnamed Item, Topological entropy and blocking cost for geodesics in Riemannian manifolds, Unnamed Item, Volume et entropie minimale des espaces localement symétriques. (Minimal volume and entropy of locally symmetric spaces), Harmonic measures and Bowen-Margulis measures

Cites Work

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• When is a geodesic flow of Anosov type, I
• Riemannian manifolds with geodesic flow of Anosov type
• A theorem of E. Hopf
• Geodesic flows on negatively curved manifolds. I
• Geodesic Flow in Certain Manifolds Without Conjugate Points