On the structure of gradient Yamabe solitons
  We show that every complete nontrivial gradient Yamabe soliton admits a special global warped product structure with a one-dimensional base. Based on this, we prove a general classification theorem for complete nontrivial locally conformally flat gradient Yamabe solitons. 
Huai-Dong Cao, Xiaofeng Sun, and Yingying Zhang
math.DG gr-qc