6 citations · 10 across the 10 of their papers we have counts for
10 papers
Uniqueness of the Ricci Flow on Complete Noncompact Manifolds
Bing-Long Chen, Xi-Ping Zhu
The Ricci flow is an evolution system on metrics. For a given metric as initial data, its local existence and uniqueness on compact manifolds was first established by Hamilton \cit…
Ricci Flow with Surgery on Four-manifolds with Positive Isotropic Curvature
Bing-Long Chen, Xi-Ping Zhu
In this paper we study the Ricci flow on compact four-manifolds with positive isotropic curvature and with no essential incompressible space form. Our purpose is two-fold. One is t…
Sharp Dimension Estimates of Holomorphic Functions and Rigidity
Bing-Long Chen, Xiao-Yong Fu, Le Yin +1
Let be a complete noncompact Khler manifold of complex dimension with nonnegative holomorphic bisectional curvature. Denote by the space…
Ricci flow on compact Kähler manifolds of positive bisectional curvature
Huai-Dong Cao, Bing-Long Chen, Xi-Ping Zhu
We announce a new proof of the uniform estimate on the curvature of solutions to the Ricci flow on a compact Kähler manifold with positive bisectional curvature. In contrast…
The Ricci Flow on Complete Noncompact Kähler Manifolds
Xi-Ping Zhu
In this paper we survey the recent developments of the Ricci flows on complete noncompact Kähler manifolds and their applications in geometry.
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…