TY - JOUR
AU - Günsen, S.
AU - Onat, L.
PY - 2021/08/22
Y2 - 2022/01/24
TI - Gradient almost Ricci solitons on multiply warped product manifolds
JF - Carpathian Mathematical Publications
JA - Carpathian Math. Publ.
VL - 13
IS - 2
SE - Scientific articles
DO - 10.15330/cmp.13.2.386-394
UR - https://journals.pnu.edu.ua/index.php/cmp/article/view/4442
SP - 386-394
AB - In this paper, we investigate multiply warped product manifold \[M =B\times_{b_1} F_1\times_{b_2} F_2\times_{b_3} \ldots \times_{b_m} F_m\] as a gradient almost Ricci soliton. Taking $b_i=b$ for $1\leq i \leq m$ lets us to deduce that potential field depends on $B$. With this idea we also get a rigidity result and show that base is a generalized quasi-Einstein manifold if $
abla b$ is conformal.
ER -