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2021•Arabian Journal of MathematicsOpen access

Non-invariant submanifolds of locally decomposable golden Riemannian manifolds

Mustafa Gök, Erol Kılıç

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Abstract

Abstract In this paper, we investigate any non-invariant submanifold of a locally decomposable golden Riemannian manifold in the case that the rank of the set of tangent vector fields of the induced structure on the submanifold by the golden structure of the ambient manifold is less than or equal to the codimension of the submanifold.

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Abstract In this paper, we investigate any non-invariant submanifold of a locally decomposable golden Riemannian manifold in the case that the rank of the set of tangent vector fields of the induced structure on the submanifold by the golden structure of the ambient manifold is less than or equal to the codimension of the submanifold.

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Available abstract

Abstract In this paper, we investigate any non-invariant submanifold of a locally decomposable golden Riemannian manifold in the case that the rank of the set of tangent vector fields of the induced structure on the submanifold by the golden structure of the ambient manifold is less than or equal to the codimension of the submanifold.

Key concepts: Submanifold, Mathematics, Codimension, Riemannian manifold, Pure mathematics, Invariant (physics), Manifold (fluid mechanics), Tangent

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