# On Geometry and Symmetry of Kepler Systems. I

@article{Zhou2017OnGA, title={On Geometry and Symmetry of Kepler Systems. I}, author={Jian Zhou}, journal={arXiv: Mathematical Physics}, year={2017} }

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.

## 5 Citations

### Hessian Geometry and Phase Change of Gibbons-Hawking Metrics

- Physics
- 2018

We study the Hessian geometry of toric Gibbons-Hawking metrics and their phase change phenomena via the images of their moment maps.

### Hessian Geometry and Phase Changes of Multi-Taub-NUT Metrics

- Computer Science
- 2018

We study the Hessian geometry of toric multi-Taub-NUT metrics and their phase change phenomena via the images of their moment maps. This generalizes an earlier paper on toric Gibbons-Hawking metrics.

### Phase Transition of Kähler–Einstein Metrics via Moment Maps

- MathematicsCommunications in Mathematics and Statistics
- 2018

We study the phase transition of Kähler Ricci-flat metrics on some open Calabi–Yau spaces with the help of the images of moment maps of natural torus actions on these spaces.

### Phase Transition of Kähler–Einstein Metrics via Moment Maps

- MathematicsCommunications in Mathematics and Statistics
- 2018

We study the phase transition of Kähler Ricci-flat metrics on some open Calabi–Yau spaces with the help of the images of moment maps of natural torus actions on these spaces.

### Noncommutative Kepler Dynamics: symmetry groups and bi-Hamiltonian structures

- Physics, MathematicsTheoretical and Mathematical Physics
- 2021

Integrals of motion are constructed from noncommutative (NC ) Kepler dynamics, generating \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts}…

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