On some classes of 3-dimensional generalized (kappa, mu)-contact metric manifolds


YILDIZ A. , De U. C. , Cetinkaya A.

TURKISH JOURNAL OF MATHEMATICS, cilt.39, ss.356-368, 2015 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 39 Konu: 3
  • Basım Tarihi: 2015
  • Doi Numarası: 10.3906/mat-1404-63
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Sayfa Sayıları: ss.356-368

Özet

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.