6 citations · 10 across the 9 of their papers we have counts for
5 papers · 2 filters
Volume Growth and Curvature Decay of Positively Curved Kähler manifolds
Bing-Long Chen, Xi-Ping Zhu
In this paper we obtain three results concerning the geometry of complete noncompact positively curved Kähler manifolds at infinity. The first one states that the order of volume g…
Positively Curved Complete Noncompact Kähler Manifolds
Bing-Long Chen, Xi-Ping Zhu
In this paper we give a partial affirmative answer to a conjecture of Greene-Wu and Yau. We prove that a complete noncompact Kähler surface with positive and bounded sectional curv…
A Uniformization Theorem Of Complete Noncompact Kähler Surfaces With Positive Bisectional Curvature
Bing-Long Chen, Siu-Hung Tang, Xi-Ping Zhu
In this paper, by combining techniques from Ricci flow and algebraic geometry, we prove the following generalization of the classical uniformization theorem of Riemann surfaces. Gi…
A Property of Kähler-Ricci Solitons on Complete Complex Surfaces
Bing-Long Chen, Xi-Ping Zhu
In this paper we prove that a nonflat Kähler-Ricci soliton of the Ricci flow on a complex two-dimensional Kähler manifold with nonnegative holomorphic bisectional curvature can not…
On Complete Noncompact Kähler Manifolds with Positive Bisectional Curvature
Bing-Long Chen, Xi-Ping Zhu
We prove that a complete noncompact Kähler manifold of positive bisectional curvature satisfying suitable growth conditions is biholomorphic to a pseudoconvex domain of {\bf…