Vector fields, Shapes, Mathematics
We show that a connected gradient Ricci soliton (M,g,f,λ) with constant scalar curvature and admitting a non-homothetic conformal vector field V leaving the potential vector field invariant, is Einstein and the potential function f is constant. For locally conformally flat case and non-homothetic V we show without constant scalar curvature assumption, that f is constant and g has constant curvature.
Sharma, Ramesh, "Gradient Ricci Solitons with a Conformal Vector Field" (2018). Mathematics Faculty Publications. 16.
Sharma, R. (2018). Gradient Ricci solitons with a conformal vector field. Journal of Geometry, 109(2), 33.