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Structures induced on hypersurfaces of meta-Golden Riemannian manifolds
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In this paper, our aim is to examine the hypersurfaces in almost meta-Golden Riemannian manifolds. First, properties of the induced structure on a hypersurface by meta-Golden Riemannian structures were investigated. After that a necessary and sufficient condition obtained for a hypersurface of a meta-Golden Riemannian manifold to be invariant. Then, totally geodesic, minimal and totally umbilical hypersurfaces were analyzed in the meta-Golden Riemann manifold, respectively. Invariant and non-invariant hypersurfaces of meta-Golden Riemann manifolds were also characterized. The relationships between the eigenvalues of the golden structure and the invariant and non-invariant hypersurfaces of the meta-Golden Riemann manifolds were investigated. Finally three examples of such hypersurfaces were given.
Title: Structures induced on hypersurfaces of meta-Golden Riemannian manifolds
Description:
In this paper, our aim is to examine the hypersurfaces in almost meta-Golden Riemannian manifolds.
First, properties of the induced structure on a hypersurface by meta-Golden Riemannian structures were investigated.
After that a necessary and sufficient condition obtained for a hypersurface of a meta-Golden Riemannian manifold to be invariant.
Then, totally geodesic, minimal and totally umbilical hypersurfaces were analyzed in the meta-Golden Riemann manifold, respectively.
Invariant and non-invariant hypersurfaces of meta-Golden Riemann manifolds were also characterized.
The relationships between the eigenvalues of the golden structure and the invariant and non-invariant hypersurfaces of the meta-Golden Riemann manifolds were investigated.
Finally three examples of such hypersurfaces were given.
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