28 citations · 47 across the 13 of their papers we have counts for
13 papers · 1 filter
Complete classification of compact four-manifolds with positive isotropic curvature
Bing-Long Chen, Siu-Hung Tang, Xi-Ping Zhu
In this paper, we completely classify all compact 4-manifolds with positive isotropic curvature. We show that they are diffeomorphic to or …
The Existence of Type II Singularities for the Ricci Flow on
Hui-Ling Gu, Xi-Ping Zhu
In this paper we prove the existence of Type II singularities for the Ricci flow on for all .
Hamilton-Perelman's Proof of the Poincaré Conjecture and the Geometrization Conjecture
Huai-Dong Cao, Xi-Ping Zhu
In this paper, we provide an essentially self-contained and detailed account of the fundamental works of Hamilton and the recent breakthrough of Perelman on the Ricci flow and thei…
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…