On complex Sasakian manifolds

Vanlı A., Ünal İ., Avcu K.

Afrika Matematika, cilt.32, sa.3-4, ss.507-516, 2021 (ESCI)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 32 Sayı: 3-4
  • Basım Tarihi: 2021
  • Dergi Adı: Afrika Matematika
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
  • Sayfa Sayıları: ss.507-516
  • Gazi Üniversitesi Adresli: Evet

Özet

In this article, we study a class of normal complex contact metric manifold called a complex

Sasakian manifolds. This kind of manifolds have a globally defined complex contact form and

normal complex contact structure.We define a complex Sasakian manifold by considering the

real case and we present general properties. Also, we obtain some useful curvature relations.

Finally, we examine flatness conditions for general curvature tensor B.