Gradient almost Yamabe solitons immersed into a Riemannian warped product manifold

The purpose of this article is to study the geometry of gradient almost Yamabe solitons immersed in warped product manifolds I x f M n whose potential is given by the height function from the immersion. First, we present some geometric rigidity on compact solitons due to a curvature condition on the warped product manifold. In the sequel, we investigate conditions for the existence of totally geodesic, totally umbilical, and minimal solitons. Furthermore, in the scope of constant angle immersions, a classification of rotational gradient almost Yamabe solitons immersed in R x f R n is also made.