On complex Sasakian manifolds

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Vanlı A. , Ünal İ., Avcu K.

AFRIKA MATEMATIKA, 2020 (ESCI İndekslerine Giren Dergi) identifier identifier


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.