Lifts of Almost r-Contact and r-Paracontact Structures

TL;DR

This paper explores how lifting theory can be used to construct almost complex and paracomplex structures on tangent bundles derived from almost Lorentzian r-contact and r-paracontact manifolds, expanding geometric understanding.

Contribution

It introduces new methods for obtaining complex and paracomplex structures on tangent bundles from specific contact and paracontact manifolds using lifting theory.

Findings

Constructed almost complex structures on tangent bundles.

Developed almost paracomplex structures on tangent bundles.

Extended geometric frameworks for Lorentzian r-contact manifolds.

Abstract

In this study, taking into considering lifting theory, we shall obtain both almost complex and paracomplex structures on the tangent bun- dle, based on almost Lorentzian r-contact and r-paracontact manifold.