Lifts of Lorentzian r- Paracontact Structure: A Geometrical Dynamics Meaning

TL;DR

This paper explores how lifting theory can generate almost paracomplex structures on tangent bundles of Lorentzian r-paracontact manifolds and examines their impact on dynamical systems.

Contribution

It introduces a method to produce almost paracomplex structures on tangent bundles using lifting theory in the context of Lorentzian r-paracontact manifolds.

Findings

Construction of almost paracomplex structures via lifting theory.

Analysis of the influence of these structures on dynamical systems.

Extension of geometric structures on tangent bundles.

Abstract

The goal of this paper, using lifting theory it is to produce almost paracomplex struc- tures on the tangent bundle of almost Lorentzian r-paracontact manifold endowed with almost Lorentzian r-paracontact structure. Finally, we discuss the effect over dynamics systems of the produced geometrical structures.