Four-dimentional Gradient Shrinking Solitons with Positive Isotropic Curvature

Abstract

We show that a four-dimensional complete gradient shrinking Ricci soliton with positive isotropic curvature is either a quotient of S^4 or a quotient of S^3 cross R. This gives a clean classification result removing the earlier additional assumptions in [13] by Wallach and the second author.

9 pages, Any comments are welcome