2014/07/18 by Bingyuan Liu, Liu, Bingyuan
Mathematics · #Geometry and complex manifolds #Geometric Analysis and Curvature Flows #Holomorphic and Operator Theory
paper · pdf · doi:10.48550/arxiv.1407.5036
The Wong-Rosay theorem characterizes the strongly pseudoconvex domains of ℂn by their automorphism groups. It has a lot of generalizations to other kinds of domains (for example, the weakly pseudoconvex domains). However, most of them are for domains of ℂn. In this note, we generalize the Wong-Rosay theorem to the simply-connected complete Kähler manifold with a negative sectional curvature. One aim of this note is to exhibit a Wong-Rosay type theorem of manifolds with holomorphic non-invariant metrics.