A Note on Invariant Submanifolds of Metallic Riemannian Manifolds

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Turkish Journal of Mathematics and Computer Science
Volume:15 Issue:1
A Note on Invariant Submanifolds of Metallic Riemannian Manifolds

A Note on Invariant Submanifolds of Metallic Riemannian Manifolds

Authors : Mustafa GÖK

Pages : 12-19

Doi:10.47000/tjmcs.1110240

View : 57 | Download : 29

Publication Date : 2023-06-30

Article Type : Research Paper

Abstract :The goal of this paper is to examine invariant submanifolds in metallic Riemannian manifolds with the help of induced structures on them by the metallic Riemannian structure of the ambient manifold. We obtain a useful characterization of invariant submanifolds. Wealso discuss some necessary conditions for invariant submanifolds to be totally geodesic. Finally, we provide an example of an invariant submanifold.
Keywords : Metallic structure, metallic Riemannian manifold, invariant submanifold

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