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On some classes of 3-dimensional generalized (kappa, mu)-contact metric manifolds
AHMET YILDIZ, UDAY CHAND DE, AZIME CETINKAYA
Published in SCIENTIFIC TECHNICAL RESEARCH COUNCIL TURKEY-TUBITAK
2015
Volume: 39
   
Issue: 3
Pages: 356 - 368
Abstract
The object of the present paper is to obtain a necessary and sufficient condition for a 3-dimensional generalized (kappa, mu)-contact metric manifold to be locally phi-symmetric in the sense of Takahashi and the condition is verified by an example. Next we characterize a 3-dimensional generalized (kappa, mu)-contact metric manifold satisfying certain curvature conditions on the concircular curvature tensor. Finally, we construct an example of a generalized (kappa, mu)-contact metric manifold to verify Theorem 1 of our paper.
About the journal
JournalTurkish Journal of Mathematics
PublisherSCIENTIFIC TECHNICAL RESEARCH COUNCIL TURKEY-TUBITAK
ISSN1300-0098