(kappa, mu, upsilon = const.)-contact metric manifolds with xi(I-M)=0

被引：0

作者：

Erken, I. Kupeli ^{[1
]}

Murathan, C. ^{[1
]}

机构：

[1] Uludag Univ, Art & Sci Fac, Dept Math, TR-16059 Bursa, Turkey

来源：

BEITRAGE ZUR ALGEBRA UND GEOMETRIE-CONTRIBUTIONS TO ALGEBRA AND GEOMETRY | 2014年 / 55卷 / 01期

关键词：

Contact metric manifold; (kappa; mu; upsilon)-contact metric manifold; Nullity distributions;

D O I：

10.1007/s13366-013-0148-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a local classification of (kappa, mu, upsilon = const.)-contact metric manifold (M, phi, xi, eta, g) with kappa < 1 which satisfies the condition" the Boeckx invariant function I-M = 1-mu/2/root 1-kappa is constant along the integral curves of the characteristic vector field xi".

引用

页码：43 / 58

页数：16

共 5 条

[1] PROJECTIVE CURVATURE TENSOR ON GENERALIZED (kappa, mu)-CONTACT METRIC MANIFOLDS
Samui, Srimayee
FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2015, 30 (02): : 225 - 233
[2] E-BOCHNER CURVATURE TENSOR ON (kappa, mu)-CONTACT METRIC MANIFOLDS
De, Uday Chand
Samui, Srimayee
INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY, 2014, 7 (01): : 143 - 153
[3] GENERALIZED ((kappa)over-tilde not equal -1, (mu)over-tilde)-PARACONTACT METRIC MANIFOLDS WITH xi((mu)over-tilde) = 0
Erken, Irem Kupeli
INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY, 2015, 8 (01): : 77 - 93
[4] \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}
I. Küpeli Erken
C. Murathan
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 2014, 55 (1): : 43 - 58
[5] 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
Kadri Arslan
Alfonso Carriazo
Verónica Martín-Molina
Cengizhan Murathan
Monatshefte für Mathematik, 2015, 177 (3) : 331 - 344

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