Four-manifolds with positive isotropic curvature

作者：Chen, Bing-Long; Huang, Xian-Tao^*

来源：Frontiers of Mathematics in China, 2016, 11(5): 1123-1149.

DOI：10.1007/s11464-016-0557-4

• Four-manifolds
• positive isotropic curvature (PIC)
• Ricci flow

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.

• 出版日期2016-10
• 单位中山大学; 清华大学