Geometry of Hamiltonian dynamics with conformal Eisenhart metric

DOI10.1155/2011/710274zbMath1232.37034OpenAlexW2077332001WikidataQ58687908 ScholiaQ58687908MaRDI QIDQ554831

Xiao Sun, Lin Yu Peng, Hua Fei Sun

Publication date: 22 July 2011

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2011/710274

zbMATH Keywords

Riemannian geometryHamiltonian dynamicsEisenhart metric

Mathematics Subject Classification ID

Related Items (2)

A statistical cohomogeneity one metric on the upper plane with constant negative curvature ⋮ Information geometric characterization of the complexity of fractional Brownian motions

Cites Work

• Lyapunov vs. Geometrical stability analysis of the Kepler and the restricted three body problems
• The geometric structures and instability of entropic dynamical models
• Differential geometry of nonlocal Hamiltonian operators of hydrodynamic type
• Hamiltonian systems of hydrodynamic type and their realization on hypersurfaces of a pseudo-Euclidean space
• Three-manifolds with positive Ricci curvature
• Conditions of complete normality for dynamical systems on Riemannian manifolds
• Reduction of quantum systems on Riemannian manifolds with symmetry and application to molecular mechanics
• Newtonian normal shift in multidimensional Riemannian geometry
• The geometry of reaction dynamics
• Lagrangian systems on hyperbolic manifolds
• Riemannian Geometry
• Stratified dynamical systems and their boundary behaviour for three bodies in space, with insight into small vibrations
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