Gaussian thermostats as geodesic flows of nonsymmetric linear connections

DOI10.1007/s00220-007-0376-2zbMath1168.53041OpenAlexW1973997949MaRDI QIDQ1006850

Maciej P. Wojtkowski, Piotr Przytycki

Publication date: 26 March 2009

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00220-007-0376-2

zbMATH Keywords

geodesic flowhyperbolicityAnosov flowmetric connections

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Methods of local Riemannian geometry (53B21)

Related Items (2)

Integrability via reversibility ⋮ Homogeneous Weyl connections of non-positive curvature

Cites Work

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• Entropy production in Gaussian thermostats
• SRB states and nonequilibrium statistical mechanics close to equilibrium
• Conformally symplectic dynamics and symmetry of the Lyapunov spectrum
• \(W\)-flows on Weyl manifolds and Gaussian thermostats
• Wyl manifolds
• Electric fields on a surface of constant negative curvature
• Magnetic flows and Gaussian thermostats on manifolds of negative curvature
• Rigidity of some Weyl manifolds with nonpositive sectional curvature

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