Certain results on a type of contact metric manifold

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

AFRIKA MATEMATIKA, cilt.26, ss.1229-1236, 2015 (ESCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 26
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1007/s13370-014-0282-7
  • Sayfa Sayıları: ss.1229-1236


Let M be a 3-dimensional almost contact metric manifold satisfying (*) condition. We denote such a manifold by M*. At first we study symmetric and skew-synunetric parallel tensor of type (0, 2) in M*. Next we prove that a non-cosymplectic manifold M* is Ricci semisymmetric if and only if it is Einstein. Also we study locally phi-symmetry and eta-parallel Ricci tensor of M*. Finally, we prove that if a non-cosymplectic M* is Einstein, then the manifold is Sasakian.