  In this paper we investigate the structure of certain solutions of the fully
nonlinear Yamabe flow, which we call quotient almost Yamabe solitons because
they extend quite naturally those called quotient Yamabe solitons. We then
present sufficient conditions for a compact quotient almost Yamabe soliton to
be either trivial or isometric with an Euclidean sphere. We also characterize
noncompact quotient gradient almost Yamabe solitons satisfying certain
conditions on both its Ricci tensor and potential function.
