SOME RESULTS ON SUBMANIFOLDS OF A $\alpha$-COSYMPLECTIC MANIFOLD WITH TORQUED VECTOR FIELD

In this paper, we examine a submanifold $N$ of an $\alpha$-cosymplectic manifold equipped with a torqued vector field $\tau$. We also investigate submanifolds that admit a $*$-$\eta$-Ricci soliton within the framework of $\alpha$-cosymplectic manifolds with torqued vector field $\tau$. We establish the necessary conditions for such a submanifold to reduce to a simpler form and demonstrate that the tangential component of $\tau$ acts as a torse-forming vector field on $N$. Finally, we present an example of a 3-dimensional submanifold of a 5-dimensional $\alpha$-cosymplectic manifold which verifies our results.