Gradient solitons on doubly warped product manifolds
Firstly we provide new characterizations for doubly warped product manifolds. Then we consider several types of gradient solitons on them such as Riemann, Ricci, Yamabe and conformal and examine the effect of a gradient soliton on a doubly warped product to its factor manifolds. Finally we investigate the concircularly flat and conharmonically flat cases of doubly warped products.
math.DG↗