Generalized $\eta -$Ricci solitons on LP-Sasakian manifolds admitting the general connection

TL;DR

This paper investigates generalized η-Ricci solitons on LP-Sasakian manifolds with a general connection, establishing their properties and providing an explicit example in four dimensions.

Contribution

It introduces the concept of generalized η-Ricci solitons on LP-Sasakian manifolds with a general connection and proves their existence in 4-dimensional cases.

Findings

Existence of generalized η-Ricci solitons on LP-Sasakian manifolds.

Construction of a non-trivial example in four dimensions.

Properties of these solitons under the general connection.

Abstract

We study the properties of LP-Sasakian manifolds endowed with generalized $% \eta -$Ricci solitons associated to the general connection. Finally, the existence of such solitons on a 4-dimensional LP-Sasakian manifold is proved by constructing a non-trivial example.