Turkish Journal of Mathematics
Article Title
DOI
10.3906/mat-1606-49
Abstract
In this paper, we study the Ricci soliton in the Riemannian products$M=R^n \times B$ and warped products $M=R \times _f B$ of theEuclidean space and Riemannian manifolds, and the gradient Riccisoliton in the warped products $M=S^1 \times _f B$ of 1-dimensionalcircle and Riemannian manifolds. Moreover, we introduce the concept ofthe generalized Ricci soliton and we suggest the method of constructionof the Riemannian manifold $(M, g)$ with a Ricci soliton $g$.Finally, we also study the Lorentzian warped products with the Riccisoliton.
First Page
1365
Last Page
1375
Recommended Citation
LEE, SANG DEOK; KIM, BYUNG HAK; and CHOI, JIN HYUK
(2017)
"Warped product spaces with Ricci conditions,"
Turkish Journal of Mathematics: Vol. 41:
No.
6, Article 1.
https://doi.org/10.3906/mat-1606-49
Available at:
https://journals.tubitak.gov.tr/math/vol41/iss6/1
