On Geometry and Symmetry of Kepler Systems. I

TL;DR

This paper explores the geometric structures of Kepler systems using Sasakian and Hessian geometry, linking classical gravity problems with modern geometric approaches relevant to string theory and AdS/CFT correspondence.

Contribution

It introduces a novel geometric perspective on Kepler metrics, connecting classical gravity with advanced geometric frameworks like Sasakian and Hessian geometry.

Findings

Kepler metrics are analyzed within Sasakian and Hessian geometric frameworks.

A connection between classical gravity problems and modern geometric methods is established.

The work provides insights relevant to the AdS/CFT correspondence in string theory.

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.