Path-connectedness of the moduli spaces of metrics with positive isotropic curvature on four-manifolds

2014/01/02 by Bing-Long Chen, Chen, Bing-Long, Xian-Tao Huang +1
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds #math.DG

paper · pdf · doi:10.48550/arxiv.1401.0405

25 pages

arxiv created 2014/01/02 · openalex publication_date 2014/01/02 · arxiv updated 2014/01/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we prove the path connectedness of the moduli spaces of metrics with positive isotropic curvature on certain compact four-dimensional manifolds.

Citations

• The Geometries of 3-Manifolds

Related

• The space of positive Ricci curvature metrics on spin manifolds
• Deforming 3-manifolds of bounded geometry and uniformly positive scalar curvature
• Moduli Spaces of Positive Curvature Metrics in Dimension Four and Beyond
• Complete classification of compact four-manifolds with positive isotropic curvature
• Deforming three-manifolds with positive scalar curvature