A class of new complete affine maximal type hypersurfaces

2025/01/15 by Yalin Sun, Ruiwei Xu, Sun, Yalin +1
Mathematics · #53C24 #Algebraic Geometry and Number Theory #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Holomorphic and Operator Theory #Primary 53A15 #Secondary 35J60

paper · pdf · doi:10.48550/arxiv.2501.08525

openalex publication_date 2025/01/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we classify a kind of special Calabi hypersurfaces with negative constant sectional curvature in Calabi affine geometry. Meanwhile, we find a class of new Euclidean complete and Calabi complete affine hypersurfaces, which satisfy the affine maximal type equation and the Abreu equation with negative constant scalar curvatures.

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