Classification of Calabi Hypersurfaces with parallel Fubini-Pick form

2020/07/06 by Ruiwei Xu, Xu, Ruiwei, Miaoxin Lei +1
Mathematics · #53C42 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds #Primary 53A15 #Secondary 53C24

paper · pdf · doi:10.48550/arxiv.2007.02614

openalex publication_date 2020/07/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we present the classification of 2 and 3-dimensional Calabi hypersurfaces with parallel Fubini-Pick form with respect to the Levi-Civita connection of the Calabi metric.

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