2020/03/31 by Andrea Loi, Roberto Mossa
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Computer science #Constant (computer programming) #Curvature #Einstein #Geometric Analysis and Curvature Flows #Geometry #Geometry and complex manifolds #Holomorphic function #Kähler manifold #Manifold (fluid mechanics) #Mathematical analysis #Mathematical physics #Mathematics #Meromorphic and Entire Functions #Nonlinear system #Philosophy #Physics #Pure mathematics #Quantum mechanics #Ricci curvature #Scalar curvature #Sectional curvature #Soliton #Space (punctuation) #math.CV #math.DG
paper · pdf · doi:10.1090/proc/15628
published as Proc. Amer. Math. Soc. 149 (2021), 4931-4941 · 12 pages. To appear in Proc. Amer. Math. Soc
arxiv created 2021/04/20 · openalex publication_date 2021/05/05 · arxiv updated 2022/03/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
Let (g, X) be a Kähler-Ricci soliton on a complex manifold M. We prove that if the Kähler manifold (M, g) can be Kähler immersed into a definite or indefinite complex space form of constant holomorphic sectional curvature 2c, then g is Einstein. Moreover, its Einstein constant is a rational multiple of c.