Cotton Solitons on Three Dimensional Almost $\alpha$-paracosymplectic Manifolds

Abstract

In this paper, we study Cotton solitons on three-dimensional almost α-paracosymplectic manifolds. We especially focus on threedimensional almost α-paracosymplectic manifolds with harmonic vector field ξ and characterize them for all possible types of operator h. Finally, we constructed an example which satisfies our results.