Ricci-like Solitons with Arbitrary Potential and Gradient Almost Ricci-like Solitons on Sasaki-like Almost Contact B-metric Manifolds

Ricci-like solitons with arbitrary potential are introduced and studied on Sasaki-like almost contact B-metric manifolds. A manifold of this type can be considered as an complex Riemannian which cone is a holomorphic manifold. The soliton under study characterized proved that its Ricci tensor equal to the vertical component both B-metrics multiplied by constant. Thus, scalar curvatures respect In 3-dimensional case, it found special sectional structure Gradient manifolds have been constant coefficients. Explicit examples provided Lie groups dimensions 3 5 equipped structures study.