Tachibana operator Applied to Invariant submanifolds of Lorentzian trans-Sasakian manifolds

TL;DR

This paper explores the application of the Tachibana operator to invariant submanifolds within Lorentzian trans-Sasakian manifolds, analyzing geometric properties and providing illustrative examples.

Contribution

It introduces the use of Tachibana operator on invariant submanifolds of Lorentzian trans-Sasakian manifolds, expanding geometric understanding in this context.

Findings

Derived geometric properties using Tachibana operator

Provided a non-trivial example illustrating the results

Enhanced understanding of invariant submanifolds in Lorentzian trans-Sasakian manifolds

Abstract

In the present paper, Tachibana operatory is applied to an invariant submanifold of a lorentzian trans-Sasakian manifold by means of through various tensors and the results obtained are discussed in terms of geometry. Finally, we give a non-trivial example in order to our results illustrate.