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Almost Kenmotsu Pseudo-Metric Manifolds

open access: yesAnnals of the Alexandru Ioan Cuza University - Mathematics, 2014
Yaning Wang, Ximin Liu
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$$\varphi $$-Trajectories in Kenmotsu manifolds

Journal of Geometry, 2022
Let \(M =(M, \varphi, \xi, \eta, g)\) be an almost contact metric manifold with Levi-Civita connection \(\nabla\). A curve \(\gamma(s)\) in \(M\) is said to be a \(\varphi\)-trajectory if it satisfies \(\nabla_{\gamma\prime} \gamma\prime = q \varphi(\gamma\prime)\) for some constant \(q\) (called the charge).
Jun-ichi Inoguchi, Ji-Eun Lee
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Invariant submanifolds of f-Kenmotsu manifolds

International Journal of Geometric Methods in Modern Physics, 2022
In the present paper, we study the invariant submanifolds of [Formula: see text]-Kenmotsu manifolds. Firstly, we show that any invariant submanifold of [Formula: see text]-Kenmotsu manifold is again [Formula: see text]-Kenmotsu manifold and minimal. Then, we give some characterizations of totally geodesic submanifolds of [Formula: see text]-Kenmotsu ...
Mohan Khatri   +2 more
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η-Einstein nearly Kenmotsu manifolds

Asian-European Journal of Mathematics, 2019
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: see text], respectively.
Tekin, Pelin, Aktan, Nesip
openaire   +2 more sources

Yamabe soliton and quasi Yamabe soliton on Kenmotsu manifold

Mathematica Slovaca, 2020
In this paper, we study Yamabe soliton and quasi Yamabe soliton on Kenmotsu manifold. First, we prove that if a Kenmotsu metric is a Yamabe soliton, then it has constant scalar curvature.
Amalendu Ghosh
semanticscholar   +1 more source

Geometry of Ricci and ( η , ω ) -Ricci solitons on the Sasaki–Kenmotsu manifold

Ukrains'kyi Matematychnyi Zhurnal
UDC 514.7 We characterize the Sasaki–Kenmotsu manifold by using different kinds of solitons. Thus, we introduce a new type of solitons on the Sasaki–Kenmotsu manifold using a bicontact structure.  First, we observe the properties of the Ricci soliton on
M. Sangeetha, H. Nagaraja
semanticscholar   +1 more source

LP-KENMOTSU MANIFOLD ADMITTING SCHOUTEN-VAN KAMPEN CONNECTION

jnanabha, 2022
In this paper we study Schouten-van Kampen connection on a Lorentzian para-Kenmotsu manifolds M. We obtain curvature tensor Ř, Ricci tensor Ŝ and scalar curvature ř, with respect to Schouten-van Kampen connection and study their properties.
P. Bhatt, S. K. Chanyal
semanticscholar   +1 more source

A CLASS OF β-KENMOTSU MANIFOLD ADMITTING GENERALIZED TANAKA-WEBSTER CONNECTION

Facta Universitatis Series Mathematics and Informatics
The objective of this paper is to investigate a class of β-Kenmotsu manifold admitting generalized Tanaka-Webster connection. We use the connection ∇e toinvestigate some curvature properties in the manifold. Here we study the projectiveand ζ-projectively
Abhishek Singh, R. Prasad, Lalit Kumar
semanticscholar   +1 more source

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