Gradient K\"ahler-Ricci solitons with nonnegative orthogonal bisectional curvature
Abstract: In this talk, I first recall some well known results for shrinking GRS including Munteanu and Wang's result: any complete Ricci shrinker with positive sectional curvature must be compact, and the outline of their proof. Using Munteanu-Wang's argument, in joint work with Guoqiang Wu, we provide an alternative proof of "any Kahler-Ricci shrinker with positive bisectional curvature must be compact". Recently, I prove that any Kahler-Ricci shrinker with positive orthogonal bisectional curvature must be compact. I also obtain a classification of the Kahler-Ricci shrinker with nonnegative orthogonal bisectional curvature.
