ON WARPED-TWISTED PRODUCT MANIFOLDS WITH GRADIENT SOLITONS

In this paper, we give new characterizations for warped-twisted product manifolds. We study gradient Riemann, gradient Ricci, gradient Yamabe solitons and quasiEinstein case on warped-twisted product manifolds and we investigate the effect of a gradient soliton and quasi-Einstein case on such manifolds to their factor manifolds. We also get some results when the factor manifolds of the warped-twisted product manifolds are compact, the twisting and the warping functions are harmonic.