Finsler generalizations of LP-Sasakian manifolds and generalized η-Ricci solitons

We introduce a new class of Finsler manifolds modelled on LP-Sasakian structures and develop their geometric properties. The paper defines Finsler LP-Sasakian manifolds, studies their curvature behavior, and formulates generalized η-Ricci solitons in this context. An explicit example is  provided, and several directions for future research are proposed.

کلیدواژه ها:

Finsler Geometry ، LP-Sasakian manifold ، paracontact structure ، \eta-Ricci soliton ، generalized connection