Conformal Euler-Lagrangian Equations on Para-Quaternionic Kahler Manifolds

TL;DR

This paper develops a Lagrangian formalism for mechanical systems on para-quaternionic Kahler manifolds, exploring their geometric and physical properties and expanding the mathematical framework for such systems.

Contribution

It introduces a novel Lagrangian formalism tailored for para-quaternionic Kahler manifolds, bridging geometry and mechanics in this specialized setting.

Findings

Geometrical-physical results for para-quaternionic Kahler mechanical systems

Extension of Lagrangian formalism to new geometric structures

Insights into the multidisciplinary applications of para-quaternionic Kahler geometry

Abstract

This manuscript presents an attempt to introduce Lagrangian formalism for mechanical systems using para-quaternionic Kahler manifolds, which represent an interesting multidisciplinary field of research. In addition to, the geometrical-physical results related to para-quaternionic Kahler mechanical systems are also given.