Abstract

In this paper, we give new characterizations for warped-twisted product manifolds. We study gradient Riemann, gradient Ricci, gradient Yamabe solitons and quasi-Einstein 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.

Keywords: Warped product; twisted product; Riemann soliton; Ricci soliton; Yamabe soliton; quasi-Einstein manifold.

MSC: 53C25, 53C20

DOI: 10.57016/MV-FRKB8689

Pages:  1--11