Yamabe solitons and quotient almost Yamabe solitons on Riemannian manifolds

Abstract

The object of the present article is to characterize Yamabe solitons admitting torse-forming vector fields with supporting non-trivial examples. Quotient Yamabe almost solitons with potential vector fields as infinitesimal harmonic transformations are studied. In addition, a triviality result of quotient almost Yamabe soliton is established using an integral inequality.