- Adıyaman Üniversitesi Fen Bilimleri Dergisi
- Vol: 10 Issue: 1
- Some Remarks on Riemannian Submersions Admitting An Almost Yamabe Soliton
Some Remarks on Riemannian Submersions Admitting An Almost Yamabe Soliton
Authors : Şemsi Eken MERİÇ
Pages : 295-306
Doi:10.37094/adyujsci.705319
View : 14 | Download : 4
Publication Date : 2020-06-25
Article Type : Research
Abstract : In this paper, we study the Riemannian submersions $\pi:M\rightarrow B$ whose total manifolds admit an almost Yamabe soliton. Here, we give some necessary conditions for which any fiber of $\pi$ or $B$ are almost Yamabe soliton or Yamabe soliton. Also, we calculate the scalar curvatures of any fiber or $B$ and using them, we present the relations between the scalar curvatures of them and obtain some characterizations of such a soliton (that is, shrinking, steady or expanding).Keywords : Riemannian manifold, Riemannian submersion, Almost Yamabe soliton