| ID | 53046 |
| FullText URL | |
| Author |
Peyghan, Esmaeil
Nasrabadi, Hassan
Tayebi, Akbar
|
| 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
|
| Published Date | 2015-01
|
| Publication Title |
Mathematical Journal of Okayama University
|
| Volume | volume57
|
| Issue | issue1
|
| Publisher | Department of Mathematics, Faculty of Science, Okayama University
|
| Start Page | 149
|
| End Page | 158
|
| ISSN | 0030-1566
|
| NCID | AA00723502
|
| Content Type |
Journal Article
|
| language |
English
|
| Copyright Holders | Copyright©2015 by the Editorial Board of Mathematical Journal of Okayama University
|
| File Version | publisher
|
| Refereed |
True
|
| Submission Path | mjou/vol57/iss1/9
|
| JaLCDOI |
