Triviality, Rotational Symmetry, and Classification of Complete Expanding Gradient Yamabe Solitons

Abstract

In this paper, we rigorously analyze the scalar curvature of complete expanding gradient Yamabe solitons. We completely classify nontrivial complete expanding gradient Yamabe solitons in both cases: when the scalar curvature is greater than the soliton constant and when it is less than the soliton constant.

9 pages