Constrained Paracomplex Mechanical Systems

TL;DR

This paper develops a paracomplex framework for constrained mechanical systems using para-Kaehlerian manifolds, extending classical mechanics concepts into a new geometric setting.

Contribution

It introduces the paracomplex analogues of Lagrangians and Hamiltonians with constraints within para-Kaehlerian manifolds, providing new geometric and mechanical insights.

Findings

Formulation of paracomplex constrained Lagrangian and Hamiltonian systems

Discussion of geometrical properties on para-Kaehlerian manifolds

Extension of classical mechanics to a new geometric context

Abstract

In this study, it is introduced paracomplex analogue of Lagrangians and Hamiltonians with constraints in the framework of para-Kaehlerian manifolds. The geometrical and mechanical results on the constrained mechanical system have also been discussed.