ID | 53046 |
FullText URL | |
Author |
Peyghan, Esmaeil
Nasrabadi, Hassan
Tayebi, Akbar
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Abstract | In this paper, we prove that evry 3-dimensional manifold
M is a ∅-recurrent N(k)-contact metric manifold if and only if it is flat.
Then we classify the ∅-recurrent contact metric manifolds of constant
curvature. This implies that there exists no ∅-recurrent N(k)-contact
metric manifold, which is neither symmetric nor locally ∅-symmetric.
|
Keywords | Constant curvature
Locally ∅-symmetric
N(k)-contact metric manifold
∅-recurrent
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Published Date | 2015-01
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Publication Title |
Mathematical Journal of Okayama University
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Volume | volume57
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Issue | issue1
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Publisher | Department of Mathematics, Faculty of Science, Okayama University
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Start Page | 149
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End Page | 158
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ISSN | 0030-1566
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NCID | AA00723502
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Content Type |
Journal Article
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language |
English
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Copyright Holders | Copyright©2015 by the Editorial Board of Mathematical Journal of Okayama University
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File Version | publisher
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Refereed |
True
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Submission Path | mjou/vol57/iss1/9
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JaLCDOI |