2023/11/12 by Brian Weber, Weber, Brian
Mathematics · #Algebraic Geometry and Number Theory #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds
paper · pdf · doi:10.48550/arxiv.2311.06950
openalex publication_date 2023/11/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study complete scalar-flat Kahler manifolds with a Killing field and a mild asymptotic condition. We show that topological and geometric rigidities exist that powerfully restrict the manifold's behavior at infinity. We create a rough classification for scalar-flat Kahler manifolds with a Killing field.