On complex Sasakian manifolds


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Vanlı A. , Ünal İ., Avcu K.

AFRIKA MATEMATIKA, 2020 (Journal Indexed in ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume:
  • Publication Date: 2020
  • Doi Number: 10.1007/s13370-020-00840-y
  • Title of Journal : AFRIKA MATEMATIKA

Abstract

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.