Classification of Calabi hypersurfaces with parallel Fubini-Pick form

被引：7

作者：

Xu, Ruiwei ^{[1
]}

Lei, Miaoxin ^{[1
]}

机构：

[1] Henan Normal Univ, Sch Math & Informat Sci, Xinxiang 453007, Henan, Peoples R China

来源：

DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 2021年 / 74卷

关键词：

Parallel Fubini-Pick form; Tchebychev affine Kahler hypersurface; Calabi geometry; Quadratic polynomial;

D O I：

10.1016/j.difgeo.2020.101707

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. (C) 2020 Elsevier B.V. All rights reserved.

引用

页数：16

共 3 条

[1] Classification of Calabi Hypersurfaces in Rn+1 with Parallel Fubini-Pick Tensor
Lei, Miaoxin
Xu, Ruiwei
JOURNAL OF GEOMETRIC ANALYSIS, 2024, 34 (06)
[2] Classification of isotropic Calabi hypersurfaces
Liu, Xiaoqian
Lei, Miaoxin
Xu, Ruiwei
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2022, 85
[3] Classification of Calabi Hypersurfaces in Rn+1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${{\mathbb {R}}}^{n+1}$$\end{document} with Parallel Fubini-Pick Tensor
Miaoxin Lei
Ruiwei Xu
The Journal of Geometric Analysis, 2024, 34 (6):

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