TY  - JOUR
T1  - Some Remarks on Riemannian Submersions Admitting An Almost Yamabe Soliton
AU  - Meriç, Şemsi Eken
PY  - 2020
DA  - June
Y2  - 2020
DO  - 10.37094/adyujsci.705319
JF  - Adıyaman University Journal of Science
JO  - ADYU J SCI
PB  - Adıyaman University
WT  - DergiPark
SN  - 2147-1630
SP  - 295
EP  - 306
VL  - 10
IS  - 1
LA  - en
AB  - 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).
KW  - Riemannian manifold
KW  - Riemannian submersion
KW  - Almost Yamabe soliton
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UR  - https://doi.org/10.37094/adyujsci.705319
L1  - https://dergipark.org.tr/en/download/article-file/1167469
ER  -