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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…
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Keywords:
kenmotsu manifolds;
invariant submersions;
clairaut anti;
anti invariant ... See more keywords
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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…
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Keywords:
point equation;
almost kenmotsu;
critical point;
kenmotsu manifolds ... See more keywords
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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:…
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Keywords:
nearly kenmotsu;
einstein nearly;
kenmotsu manifolds;
formula see ... See more keywords
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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…
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Keywords:
almost kenmotsu;
results almost;
kenmotsu manifolds;
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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…
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Keywords:
geometry;
kenmotsu manifold;
kenmotsu manifolds;
yamabe solitons ... See more keywords
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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…
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Keywords:
curvature conditions;
manifolds ricci;
conditions kenmotsu;
ricci solitons ... See more keywords
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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…
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Keywords:
manifolds schouten;
schouten van;
biharmonic maps;
kenmotsu manifolds ... See more keywords