Articles with "kenmotsu manifolds" as a keyword



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Clairaut Anti-invariant Submersions from Sasakian and Kenmotsu Manifolds

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Published in 2017 at "Mediterranean Journal of Mathematics"

DOI: 10.1007/s00009-017-1028-1

Abstract: We investigate new Clairaut conditions for anti-invariant submersions from Sasakian and Kenmotsu manifolds onto Riemannian manifolds. We prove that there do not exist Clairaut anti-invariant submersion admitting vertical Reeb vector field in case of the… read more here.

Keywords: kenmotsu manifolds; invariant submersions; clairaut anti; anti invariant ... See more keywords
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Critical Point Equation on Almost Kenmotsu Manifolds

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Published in 2020 at "Ukrainian Mathematical Journal"

DOI: 10.1007/s11253-020-01770-5

Abstract: We study the critical point equation $(CPE)$ conjecture on almost Kenmotsu manifolds. First, we prove that if a three-dimensional $(k,\mu)'$-almost Kenmotsu manifold satisfies the $CPE,$ then the manifold is either locally isometric to the product… read more here.

Keywords: point equation; almost kenmotsu; critical point; kenmotsu manifolds ... See more keywords
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η-Einstein nearly Kenmotsu manifolds

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Published in 2019 at "Asian-European Journal of Mathematics"

DOI: 10.1142/s1793557120400100

Abstract: In this paper, we showed that an [Formula: see text]-Einstein nearly Kenmotsu manifold with projective curvature tensor [Formula: see text], and conharmonic curvature tensor [Formula: see text], satisfy the conditions [Formula: see text] and [Formula:… read more here.

Keywords: nearly kenmotsu; einstein nearly; kenmotsu manifolds; formula see ... See more keywords
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Some results on (k, μ)′-almost Kenmotsu manifolds

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Published in 2017 at "Quaestiones Mathematicae"

DOI: 10.2989/16073606.2017.1391347

Abstract: Abstract In this paper, we study the Weyl conformal curvature tensor ???? and the concircular curvature tensor ???? on a (k, μ)′-almost Kenmotsu manifold M2n+1 of dimension greater than 3. We obtain that if M2n+1… read more here.

Keywords: almost kenmotsu; results almost; kenmotsu manifolds;
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Geometry of Indefinite Kenmotsu Manifolds as *η-Ricci-Yamabe Solitons

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Published in 2022 at "Axioms"

DOI: 10.3390/axioms11090461

Abstract: In this paper, we study the properties of ϵ-Kenmotsu manifolds if its metrics are *η-Ricci-Yamabe solitons. It is proven that an ϵ-Kenmotsu manifold endowed with a *η-Ricci-Yamabe soliton is η-Einstein. The necessary conditions for an… read more here.

Keywords: geometry; kenmotsu manifold; kenmotsu manifolds; yamabe solitons ... See more keywords
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Certain Curvature Conditions on Kenmotsu Manifolds and ★-η;-Ricci Solitons

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Published in 2023 at "Axioms"

DOI: 10.3390/axioms12020140

Abstract: The present paper deals with the investigations of a Kenmotsu manifold satisfying certain curvature conditions endowed with 🟉-η-Ricci solitons. First we find some necessary conditions for such a manifold to be φ-Einstein. Then, we study… read more here.

Keywords: curvature conditions; manifolds ricci; conditions kenmotsu; ricci solitons ... See more keywords
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Biharmonic Maps on f-Kenmotsu Manifolds with the Schouten–van Kampen Connection

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Published in 2023 at "Mathematics"

DOI: 10.3390/math11081905

Abstract: The object of the present paper was to study biharmonic maps on f-Kenmotsu manifolds and f-Kenmotsu manifolds with the Schouten–van Kampen connection. With the help of this connection, our results provided important insights related to… read more here.

Keywords: manifolds schouten; schouten van; biharmonic maps; kenmotsu manifolds ... See more keywords