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math.DG2005★ 6 cited
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…
math.DG2005
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…
math.DG2003★ 3 cited
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…