Abstract
In this paper, we study the geometry of the contact pseudo-slant submanifolds of a Sasakian manifold. We derive the integrability conditions of distributions in the definition of a contact pseudo-slant submanifold. The notions contact pseudo-slant product is defined, and the necessary and sufficient conditions for a submanifold to contact pseudo-slant product is given. Also, a non-trivial example is used to demonstrate that the method presented in this paper is effective.
Highlights
The differential geometry of slant submanifolds has shown an increasing development since B
Papaghuic initiated the notion of semi-slant submanifolds as a generalization of slant submanifolds and CR-submanifolds[12]
Carriazo defined pseudo-slant submanifold with the name anti-slant submanifolds as a special class of bi-slant submanifolds [2, 3, 4]
Summary
The differential geometry of slant submanifolds has shown an increasing development since B. Pseudo-slant submanifolds have been studied by Khan et al in [10]. C. De et al studied and characterized pseudoslant submanifolds of trans-Sasakian Manifolds [6]. Dirik have investigated contact pseudo-slant submanifolds in Cosymplectic, Kenmotsu, and Sasakian space forms and gave some results on mixed-geodesic, totally geodesic and the induced tensor fields to be parallel [7, 8, 9]. We study geometry of the contact pseudo-slant submanifolds of a Sasakian manifold. The notions contact pseudo-slant product is defined, and the necessary and sufficient conditions for a submanifold to be contact pseudo-slant product is given. A non-trivial example is used to demonstrate that the method presented in this paper is effective
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