Geodesic
Almost Kenmotsu manifolds with constant Reeb or ϕ-sectional curvatures
Filomat, Tome 37 (2023) no. 8, p. 2495

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DOI

In this paper, we prove that an almost Kenmotsu manifold M has constant Reeb sectional curvatures if and only if M has conformal Reeb foliation. On an almost Kenmotsu h-a-manifold of dimension three having constant ϕ-sectional curvature, the Reeb vector field is an eigenvector field of the Ricci operator if and only if the manifold is locally isometric to a non-unimodular Lie group.
DOI : 10.2298/FIL2308495W
Classification : 53D15, 53C25
Keywords: Almost Kenmotsu manifold, Lie group, Reeb sectional curvature, ϕ-sectional curvature 
Yaning Wang; Pei Wang. Almost Kenmotsu manifolds with constant Reeb or ϕ-sectional curvatures. Filomat, Tome 37 (2023) no. 8, p. 2495 . doi: 10.2298/FIL2308495W
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     title = {Almost {Kenmotsu} manifolds with constant {Reeb} or \ensuremath{\phi}-sectional curvatures},
     journal = {Filomat},
     pages = {2495 },
     year = {2023},
     volume = {37},
     number = {8},
     doi = {10.2298/FIL2308495W},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2308495W/}
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