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Mathematical Methods in the Applied Sciences
Article . 2022 . Peer-reviewed
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Article . 2022
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Meta‐Golden Riemannian manifolds

Meta-golden Riemannian manifolds
Authors: Fulya Şahin; Bayram Şahin;

Meta‐Golden Riemannian manifolds

Abstract

The logarithmic spiral in nature has been given as an example of the golden ratio until now. But recently, it has been shown that this is not true, and the logarithmic spiral has actually been shown to provide the so‐called Meta‐Golden‐Chi ratio. Inspiring from Meta‐Golden‐Chi ratio, we introduce almost Meta‐Golden manifolds, give a characterization, provide examples, and investigate certain properties of Meta‐Golden structure. The integrability of almost Meta‐Golden structure is checked, and the relation of Meta‐Golden structure with curvature tensor field is examined. In addition, if the Meta‐Golden manifold has constant curvature, it is shown that such manifold is a flat space under certain conditions. This implies that there is a need for a new concept of sectional curvature in Meta‐Golden Riemannian manifolds.

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Turkey
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Keywords

Meta-Golden section, Special Riemannian manifolds (Einstein, Sasakian, etc.), Chi ratio, Meta-Golden manifold, Golden Riemannian manifold, General geometric structures on manifolds (almost complex, almost product structures, etc.), golden Riemannian manifold, almost complex manifold, Ratio, Meta-Golden structure, meta-golden manifold

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
4
Top 10%
Average
Average
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