Some Remarks on Riemannian Submersions Admitting An Almost Yamabe Soliton

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Adıyaman Üniversitesi Fen Bilimleri Dergisi
Volume:10 Issue:1
Some Remarks on Riemannian Submersions Admitting An Almost Yamabe Soliton

Some Remarks on Riemannian Submersions Admitting An Almost Yamabe Soliton

Pages : 295-306

View : 23 | Download : 9

Publication Date : 2020-06-25

Article Type : Research Paper

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

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