A closed symplectic four-manifold has almost Kaehler metrics of negative scalar curvature

2006/05/17 by Jongsu Kim, Kim, Jongsu
Mathematics · Physics and Astronomy · #53C15 #53C20 #53D35 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #math.DG #msc:53C15 #msc:53C20 #msc:53D35

paper · pdf · doi:10.48550/arxiv.math/0605468

29 pages

arxiv created 2006/05/17 · openalex publication_date 2006/05/17 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that every closed symplectic four-dimensional manifold admits compatible almost Kaehler metrics of negative scalar curvature.

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