Critical Point Equation on Almost Kenmotsu Manifolds
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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
Cyclic-parallel Ricci tensors on a class of almost Kenmotsu 3-manifolds
Sign Up to like & getrecommendations! Published in 2019 at "International Journal of Geometric Methods in Modern Physics"
DOI: 10.1142/s0219887819500920
Abstract: In this paper, we give a local characterization for the Ricci tensor of an almost Kenmotsu [Formula: see text]-manifold [Formula: see text] to be cyclic-parallel. As an application, we prove that if [Formula: see text]… read more here.
Keywords: ricci; cyclic parallel; almost kenmotsu; formula see ... See more keywords
Ricci solitons on almost Kenmotsu 3-manifolds
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DOI: 10.1515/math-2017-0103
Abstract: Abstract Let (M3, g) be an almost Kenmotsu 3-manifold such that the Reeb vector field is an eigenvector field of the Ricci operator. In this paper, we prove that if g represents a Ricci soliton… read more here.
Keywords: ricci solitons; field; almost kenmotsu; vector field ... See more keywords
Some results on (k, μ)′-almost Kenmotsu manifolds
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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;