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arXiv · 1910.11434

On Complex Sasakian manifolds

Aysel Turgut Vanli·İnan Ünal·Keziban Avcu
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Abstract

In this article we study a class of normalθcomplexθcontactθmetricθmanifold which is called a complex Sasakian manifold. This kind of manifold has a globally defined complex contact form and normal complex contact structure. We give the definition of a complex Sasakian manifold by consider 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.

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Aysel Turgut Vanli, İnan Ünal, Keziban Avcu. 2019-10-24. On Complex Sasakian manifolds. https://doi.org/10.1007/s13370-020-00840-y

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