start-ver=1.4
cd-journal=joma
no-vol=57
cd-vols=
no-issue=1
article-no=
start-page=149
end-page=158
dt-received=
dt-revised=
dt-accepted=
dt-pub-year=2015
dt-pub=201501
dt-online=
en-article=
kn-article=
en-subject=
kn-subject=
en-title=
kn-title=ON ∅-RECURRENT CONTACT METRIC MANIFOLDS
en-subtitle=
kn-subtitle=
en-abstract=
kn-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.
en-copyright=
kn-copyright=

en-aut-name=PeyghanEsmaeil
en-aut-sei=Peyghan
en-aut-mei=Esmaeil
kn-aut-name=
kn-aut-sei=
kn-aut-mei=
aut-affil-num=1
ORCID=

en-aut-name=NasrabadiHassan
en-aut-sei=Nasrabadi
en-aut-mei=Hassan
kn-aut-name=
kn-aut-sei=
kn-aut-mei=
aut-affil-num=2
ORCID=

en-aut-name=TayebiAkbar
en-aut-sei=Tayebi
en-aut-mei=Akbar
kn-aut-name=
kn-aut-sei=
kn-aut-mei=
aut-affil-num=3
ORCID=

affil-num=1
en-affil=
kn-affil=Department of Mathematics, Faculty of Science Arak University

affil-num=2
en-affil=
kn-affil=Department of Mathematics, Faculty of Science Arak University

affil-num=3
en-affil=
kn-affil=Department of Mathematics, Faculty of Science University of Qom
en-keyword=Constant curvature
kn-keyword=Constant curvature
en-keyword=Locally ∅-symmetric
kn-keyword=Locally ∅-symmetric
en-keyword=N(k)-contact metric manifold
kn-keyword=N(k)-contact metric manifold
en-keyword=∅-recurrent
kn-keyword=∅-recurrent
END