In this paper, we completely classify nontrivial nonflat three dimensional
complete shrinking and steady gradient Yamabe solitons without any assumptions.
We also give examples of complete expanding gradient Yamabe solitons.
Furthermore, we give a...
In this paper, we solve the Yamabe soliton version of the Perelman
conjecture. We show that any nontrivial complete steady gradient Yamabe
solitons with positive scalar curvature are rotationally symmetric.