Strictly non-proportional geodesically equivalent metrics have h top ( g ) = 0

DOI10.1017/S0143385705000283zbMath1094.53037arXivmath/0410498MaRDI QIDQ3377393

Vladimir S. Matveev, Boris S. Kruglikov

Publication date: 22 March 2006

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

Full work available at URL: https://arxiv.org/abs/math/0410498

zbMATH Keywords

geodesically equivalent metricsstrictly non-proportional metrics

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Geodesics in global differential geometry (53C22) Geodesic flows in symplectic geometry and contact geometry (53D25)

Related Items (5)

On integrable natural Hamiltonian systems on the suspensions of toric automorphism ⋮ Analytic reparametrization of semi-algebraic sets ⋮ Proof of the projective Lichnerowicz conjecture for pseudo-Riemannian metrics with degree of mobility greater than two ⋮ Complete Einstein metrics are geodesically rigid ⋮ Pseudo-Riemannian metrics on closed surfaces whose geodesic flows admit nontrivial integrals quadratic in momenta, and proof of the projective Obata conjecture for two-dimensional pseudo-Riemannian metrics

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