On Geometry and Symmetry of Kepler Systems. I

Abstract

We study the Kepler metrics on Kepler manifolds from the point of view of Sasakian geometry and Hessian geometry. This establishes a link between the problem of classical gravity and the modern geometric methods in the study of AdS/CFT correspondence in string theory.

References in corpus (1)

• The classical Kepler problem and geodesic motion on spaces of constant curvature

Cited by in corpus (3)

• Hessian Geometry and Phase Change of Gibbons-Hawking Metrics
• Hessian Geometry and Phase Changes of Multi-Taub-NUT Metrics
• Noncommutative Kepler Dynamics: symmetry groups and bi-Hamiltonian structures