Noncompact 4-manifolds with uniformly positive isotropic curvature

Authors
Shen, Liang Ming
Citation
Shen, Liang Ming, Noncompact 4-manifolds with uniformly positive isotropic curvature, Acta mathematica Sinica. English series (Print) , 31(9), 2015, pp. 1391-1414
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
31
Issue
9
Year of publication
2015
Pages
1391 - 1414
Database
ACNP
SICI code
Abstract
In this paper, we study Ricci flow on noncompact 4-manifolds with uniformly positive isotropic curvature and with no essential imcompressible space form. That means there is positive lower bound of isotropic curvature and bounded geometry. Then by Perelman.s technique, we can analyze the structures of such manifolds.