The prescribed scalar curvature problem for metrics with unit total volume

2014/04/28 by Shinichiroh Matsuo, Matsuo, Shinichiroh · 1 citation
Mathematics · #53C21 #53C25 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Nonlinear Partial Differential Equations #math.DG #msc:53C21 #msc:53C25

paper · pdf · doi:10.48550/arxiv.1404.6992

To appear in Mathematische Annalen

arxiv created 2014/04/28 · openalex publication_date 2014/04/28 · arxiv updated 2014/04/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We solve the modified Kazdan-Warner problem of finding metrics with prescribed scalar curvature and unit total volume.

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