Almost Riemann Solitons with Vertical Potential on Conformal Cosymplectic Contact Complex Riemannian Manifolds

Almost-Riemann solitons are introduced and studied on an almost contact complex Riemannian manifold, i.e., almost-contact B-metric which is obtained from a cosymplectic manifold of the considered type by means conformal transformation Reeb vector field, its dual 1-form, B-metric, associated B-metric. The potential soliton assumed to be in vertical distribution, it collinear field. In this way, manifolds four main classes obtained. curvature properties resulting derived. An explicit example dimension five constructed. Bochner tensor used (for at least seven) as invariant obtain these construct relation results.