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On some geometric properties of CR-submanifolds of a Sasakian manifold

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Abstract In this paper, we study the geometry of the contact CR-submanifolds of a Sasakian manifold. By searching the parallelism conditions of the tensors reduced in the submanifolds, some properties… Click to show full abstract

Abstract In this paper, we study the geometry of the contact CR-submanifolds of a Sasakian manifold. By searching the parallelism conditions of the tensors reduced in the submanifolds, some properties and results obtained from the definition of the contact CR-submanifolds are given. Also, necessary and sufficient conditions are given for a submanifold to be a contact CR-submanifold, contact CR-product, D , D ⊥ and mixed totally geodesic in a Sasakian manifold.

Keywords: submanifolds sasakian; sasakian manifold; properties submanifolds; geometry; geometric properties

Journal Title: Journal of Geometry and Physics
Year Published: 2020

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