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Communications in Mathematics
Article . 2023 . Peer-reviewed
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Episciences
Article . 2023
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zbMATH Open
Article . 2022
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Almost Kenmotsu Manifolds

Almost Kenmotsu manifolds
Authors: Nagaraja, H.; Manjulamma, Uppara;

Almost Kenmotsu Manifolds

Abstract

The object of this paper is to study generalized φ-recurrent almost Kenmotsu manifolds with characteristic vector field ξ belonging to (k, µ)-nullity distribution. We have showed that these manifolds reduce to Kenmotsu manifolds with scalar curvature-1. Further we establish the relations among the associated 1-forms and proved the conditions under which gradient Ricci almost soliton reduce to gradient Ricci soliton.

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Keywords

quasi generalized Ricci-recurent, generalized concircular \(\phi\)-recurrent, [MATH] Mathematics [math], η-Einstein, Flows related to symplectic and contact structures, generalized projective \(\phi\)-recurrent, generalized projective φ-recurrent, Almost contact and almost symplectic manifolds, nullity distribution, generalized concircular φ-recurrent, Packing and covering in \(2\) dimensions (aspects of discrete geometry), [MATH]Mathematics [math], almost Kenmotsu manifolds, \(\eta\)-Einstein

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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!
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