Certain results on a type of contact metric manifold
AFRIKA MATEMATIKA, cilt.26, ss.1229-1236, 2015 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 26
- Basım Tarihi: 2015
- Doi Numarası: 10.1007/s13370-014-0282-7
- Dergi Adı: AFRIKA MATEMATIKA
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
- Sayfa Sayıları: ss.1229-1236
- İnönü Üniversitesi Adresli: Evet
Özet
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.