5 papers
Complete Kähler manifolds with nonnegative Ricci curvature II
Gang Liu
We study rigidity on certain Kähler manifolds with nonnegative Ricci curvature. Among others things, we show that a complete noncompact Kähler surface with nonnegative Ricci curvat…
Compact Group Homeomorphisms Preserving The Haar Measure
Gang Liu
This paper studies the measure-preserving homeomorphisms on compact groups and proposes new methods for constructing measure-preserving homeomorphisms on direct products of compact…
Complete Kähler manifolds with nonnegative Ricci curvature
Gang Liu
We consider complete Kähler manifolds with nonnegative Ricci curvature. The main results are: 1. When the manifold has nonnegative bisectional curvature, we show that $\lim\limits_…
Stable classes of harmonic mappings
Gang Liu, Saminathan Ponnusamy, Victor V. Starkov
Let denote the set of all sense-preserving harmonic mappings in the unit disk $\ID$, normalized with and . In this p…
Domains of holomorphy for irreducible admissible uniformly bounded representations of simple Lie groups
Gang Liu, Aprameyan Parthasarathy
In this note, we address a question raised by Krötz on the classification of domains of holomorphy of irreducible admissible Banach representations for connected non-compact simple…