The Solodovnikov theorem in dimension two
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Publication:886583
zbMath1246.53113MaRDI QIDQ886583
Publication date: 27 June 2007
Published in: Doklady Mathematics (Search for Journal in Brave)
Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Geodesics in global differential geometry (53C22) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)
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Two-dimensional metrics admitting precisely one projective vector field ⋮ A solution of a problem of Sophus Lie: normal forms of two-dimensional metrics admitting two projective vector fields ⋮ Proof of the projective Lichnerowicz conjecture for pseudo-Riemannian metrics with degree of mobility greater than two ⋮ 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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