Local curvature estimates along the κ-LYZ flow

2020/09/30 by Yi Li, Yuan Yuan
Mathematics · #Algebraic Geometry and Number Theory #Combinatorics #Computer science #Curvature #Flow (mathematics) #Geometric Analysis and Curvature Flows #Geometry #Geometry and complex manifolds #Mathematics #Scalable Vector Graphics #World Wide Web #math.AP #math.DG

paper · pdf · doi:10.1016/j.geomphys.2021.104162

23 pages; revised

openalex created_date 2020/10/01 · openalex publication_date 2021/02/11 · arxiv created 2021/12/05 · arxiv updated 2021/12/07 · openalex updated_date 2026/08/05

Abstract

In this paper we prove a local curvature estimate for the κ-LYZ flow over Kähler manifolds introduced in [FGP1] and [LYZ]. In particular, we generalize the long time existence of the flow.

Citations

• On the constant scalar curvature Kähler metrics, apriori estimates
• On the constant scalar curvature Kähler metrics, existence results
• On the constant scalar curvature Kähler metrics, general automorphism group
• New curvature flows in complex geometry
• On convergence criteria for the coupled flow of Li–Yuan–Zhang
• Local curvature estimates for the Ricci-harmonic flow