Toric nearly Kähler manifolds

被引:0
作者
Andrei Moroianu
Paul-Andi Nagy
机构
[1] Univ. Paris-Sud,Laboratoire de Mathématiques d’Orsay
[2] CNRS,Department of Mathematics
[3] Université Paris-Saclay,undefined
[4] The University of Murcia,undefined
来源
Annals of Global Analysis and Geometry | 2019年 / 55卷
关键词
Killing vector field; Nearly Kähler manifold; Toric structure; 53C12; 53C24; 53C55;
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摘要
We show that 6-dimensional strict nearly Kähler manifolds admitting effective T3\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb {T}}^3$$\end{document} actions by automorphisms are completely characterized in the neigborhood of each point by a function on R3\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb {R}}^3$$\end{document} satisfying a certain Monge–Ampère-type equation.
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页码:703 / 717
页数:14
相关论文
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