Abstract
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.
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Chen, BL., Huang, XT. Four-manifolds with positive isotropic curvature. Front. Math. China 11, 1123–1149 (2016). https://doi.org/10.1007/s11464-016-0557-4
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DOI: https://doi.org/10.1007/s11464-016-0557-4