Results 81 to 90 of about 171 (138)

On nonexistence of Kenmotsu structure on аст-hypersurfaces of cosymplectic type of a Kählerian manifold

Дифференциальная геометрия многообразий фигур, 2019
Almost contact metric (аст-)structures induced on oriented hypersur­fa­ces of a Kählerian manifold are considered in the case when these аст-struc­tures are of cosymplectic type, i. e. the contact form of these struc­tu­res is closed. As it is known, the
G. Banaru
doaj   +1 more source

Casorati Inequalities for Statistical Submanifolds in Kenmotsu Statistical Manifolds of Constant ϕ-Sectional Curvature with Semi-Symmetric Metric Connection. [PDF]

Entropy (Basel), 2022
Decu S, Vîlcu GE.
europepmc   +1 more source

Some classifications on Kenmotsu manifolds

International Journal of Physical Sciences, 2014
In this paper, we investigate some curvature problems of Kenmotsu manifolds satisfying some certain conditions and we reach some classicifications. We consider -recurrent Kenmotsu manifolds and we show that -recurrent Kenmotsu manifolds are also -Einstein manifolds.
DOĞAN Saadet, KARADAĞ M uuml ge
openaire   +2 more sources

A class of 3-dimensional almost Kenmotsu manifolds with harmonic curvature tensors

Open Mathematics, 2016
Let M3 be a three-dimensional almost Kenmotsu manifold satisfying ▽ξh = 0. In this paper, we prove that the curvature tensor of M3 is harmonic if and only if M3 is locally isometric to either the hyperbolic space ℍ3(-1) or the Riemannian product ℍ2(−4) ×
Wang Yaning
doaj   +1 more source

Geometry of Nonholonomic Kenmotsu Manifolds

Izvestiya of Altai State University, 2021
The concept of the intrinsic geometry of a nonholonomic Kenmotsu manifold M is introduced. It is understood as the set of those properties of the manifold that depend only on the framing  of the D^ distribution D of the manifold M, on the parallel transformation of vectors belonging to the distribution D along curves tangent to this distribution.
openaire   +3 more sources

Classification of Warped Product Submanifolds in Kenmotsu Space Forms Admitting Gradient Ricci Solitons

Mathematics, 2019
The purpose of this article is to obtain geometric conditions in terms of gradient Ricci curvature, both necessary and sufficient, for a warped product semi-slant in a Kenmotsu space form, to be either CR-warped product or simply a Riemannian product ...
Ali H. Alkhaldi, Akram Ali
doaj   +1 more source

On some submanifolds of Kenmotsu manifolds

Chaos, Solitons & Fractals, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sular, Sibel, Özgür, Cihan
openaire   +4 more sources

Ricci solitons on almost Kenmotsu 3-manifolds

Open Mathematics, 2017
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 whose potential vector field is orthogonal to the Reeb vector field ...
Wang Yaning
doaj   +1 more source

On LP-Kenmotsu Manifold with Regard to Generalized Symmetric Metric Connection of Type (α, β)

Mathematics
In the current article, we examine Lorentzian para-Kenmotsu (shortly, LP-Kenmotsu) manifolds with regard to the generalized symmetric metric connection ∇G of type (α,β).
Doddabhadrappla Gowda Prakasha, Nasser Bin Turki, Mathad Veerabhadraswamy Deepika, İnan Ünal   +3 more
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Some Geometric Properties of Lorentzian $\beta$-Kenmotsu Manifolds Admitting $\eta$-Ricci-Yamabe Solitons

Communications in Advanced Mathematical Sciences
In this paper, we investigate the characterization of Lorentzian $\beta $-Kenmotsu manifolds admitting $\eta$-Ricci-Yamabe solitons. First, we examine the cases where such manifolds are Ricci pseudosymmetric and Ricci semisymmetric.
Mehmet Atçeken, Tuğba Mert
doaj   +1 more source