NON EXISTENCE OF HOMOGENEOUS CONTACT METRIC MANIFOLDS OF NONPOSITIVE CURVATURE

被引：6

作者：

Lotta, Antonio ^{[1
]}

机构：

[1] Univ Bari Aldo Moro, Dipartimento Matemat, I-70125 Bari, Italy

来源：

TOHOKU MATHEMATICAL JOURNAL | 2010年 / 62卷 / 04期

关键词：

Contact metric manifold; homogeneous Riemannian space of nonpositive curvature; RIEMANNIAN GEOMETRY; NEGATIVE CURVATURE;

D O I：

10.2748/tmj/1294170347

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that there exist no simply connected homogeneous contact metric manifolds having nonpositive sectional curvature.

引用

页码：575 / 578

页数：4

共 46 条

[41] (kappa, mu, upsilon = const.)-contact metric manifolds with xi(I-M)=0
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[44] The curvature tensor of (κ,μ,ν)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$(\kappa ,\mu ,\nu )$$\end{document}-contact metric manifolds
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[45] On non-gradient (m,ρ)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$(m,\rho )$$\end{document}-quasi-Einstein contact metric manifolds
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[46] \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$(\kappa ,\mu ,\upsilon =const.)$$\end{document}-contact metric manifolds with \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\xi (I_{M})=0$$\end{document}
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