Gradient almost Ricci solitons on multiply warped product manifolds

Keywords:
multiply warped product, gradient almost Ricci soliton, generalized quasi-Einstein manifold, conformal vector field
Published online:
2021-08-22
Abstract
In this paper, we investigate multiply warped product manifold M=B×b1F1×b2F2×b3…×bmFm as a gradient almost Ricci soliton. Taking bi=b for 1≤i≤m lets us to deduce that potential field depends on B. With this idea we also get a rigidity result and show that base is a generalized quasi-Einstein manifold if ∇b is conformal.
How to Cite
(1)
Günsen, S.; Onat, L. Gradient Almost Ricci Solitons on Multiply Warped Product Manifolds. Carpathian Math. Publ. 2021, 13, 386-394.