ON WARPED PRODUCT SPACES WITH A CERTAIN RICCI CONDITION
ON WARPED PRODUCT SPACES WITH A CERTAIN RICCI CONDITION
In this paper, we obtain the criteria that the Riemannian manifold B is Einstein or a gradient Ricci soliton from the information of the second derivative of <TEX>$f$</TEX> in the warped product space <TEX>$R{\times}_fB$</TEX> with gradient Ricci solitons. Moreover, we construct new examples of non-Einstein gradient Ricci soliton spaces with …