Frontiers of Mathematics in China >
Four-manifolds with positive isotropic curvature
Received date: 20 Feb 2016
Accepted date: 10 Jun 2016
Published date: 23 Sep 2016
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We give a survey on 4-dimensional manifolds with positive isotropic curvature. We will introduce the work of B. L. Chen, S. H. Tang and X. P. Zhu on a complete classification theorem on compact four-manifolds with positive isotropic curvature (PIC). Then we review an application of the classification theorem, which is from Chen and Zhu’s work. Finally, we discuss our recent result on the path-connectedness of the moduli spaces of Riemannian metrics with positive isotropic curvature.
Key words： Four-manifolds; positive isotropic curvature (PIC); Ricci flow
Bing-Long CHEN , Xian-Tao HUANG . Four-manifolds with positive isotropic curvature[J]. Frontiers of Mathematics in China, 2016 , 11(5) : 1123 -1149 . DOI: 10.1007/s11464-016-0557-4
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