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2016•DergiPark (Istanbul University)Requires access

Pseudo-Slant Submanifolds of a Nearly Cosymplectic Manifold

Süleyman Di̇ri̇k, Mehmet Atçeken

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Abstract

In this paper, the geometry of pseudo-slant submanifolds of a nearly Cosymplectic manifold is studied. We obtain the necessary and sufficient conditions on a totally umbilical proper-slant submanifold and show that it is totally geodesic if the mean curvature vector H ∈ µ. well as, we research the integrability conditions of the distributions of pseudo-slant submanifolds and prove some characterizations

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What this paper is about

In this paper, the geometry of pseudo-slant submanifolds of a nearly Cosymplectic manifold is studied. We obtain the necessary and sufficient conditions on a totally umbilical proper-slant submanifold and show that it is totally geodesic if the mean curvature vector H ∈ µ. well as, we research the integrability conditions of the distributions of pseudo-slant submanifolds and prove some characterizations

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OpenAlex reports 2 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

In this paper, the geometry of pseudo-slant submanifolds of a nearly Cosymplectic manifold is studied. We obtain the necessary and sufficient conditions on a totally umbilical proper-slant submanifold and show that it is totally geodesic if the mean curvature vector H ∈ µ. well as, we research the integrability conditions of the distributions of pseudo-slant submanifolds and prove some characterizations

Key concepts: Submanifold, Geodesic, Manifold (fluid mechanics), Mathematics, Totally geodesic, Curvature, Pure mathematics, Mathematical analysis

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