Parallel mean curvature surfaces in four-dimensional homogeneous spaces [PDF]
We survey different classification results for surfaces with parallel mean curvature immersed into some Riemannian homogeneous four-manifolds, including real and complex space forms, and product spaces.
Manzano, José M. +2 more
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Ricci soliton and Ricci almost soliton within the framework of Kenmotsu manifold
First, we prove that if the Reeb vector field $\xi$ of a Kenmotsu manifold $M$ leaves the Ricci operator $Q$ invariant, then $M$ is Einstein. Next, we study Kenmotsu manifold whose metric represents a Ricci soliton and prove that it is expanding ...
A. Ghosh
doaj +1 more source
Some solitons on anti-invariant submanifold of LP-Kenmotsu manifold admitting Zamkovoy connection [PDF]
In this paper we prove some curvature properties of anti-invariant submanifold of Lorentzian para-Kenmotsu manifold (briefly, LP-Kenmotsu manifolds) with respect to Zamkovoy connection (∇∗).
Abhijit Mandal, Meghlal Mallik
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Totally contact umbilical screen-slant and screen-transversal lightlike submanifolds of indefinite Kenmotsu manifold [PDF]
We study totally contact umbilical screen-slant lightlike submanifolds and totally contact umbilical screen-transversal lightlike submanifolds of an indefinite Kenmotsu manifold.
Payel Karmakar
doaj +1 more source
Kenmotsu 3-manifolds and gradient solitons
The aim of this article is to characterize a Kenmotsu 3-manifold whose metric is either a gradient Yamabe soliton or gradient Einstein soliton. It is proven that in both cases this manifold is reduced to the manifold of constant sectional curvature ...
F. Mofarreh, U.C. De
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A Study on Ricci Solitons in Kenmotsu Manifolds [PDF]
We study and obtain results on Ricci solitons in Kenmotsu manifolds satisfying , , , and , where and are C-Bochner and pseudo-projective curvature tensor.
Bagewadi, C. S. +2 more
openaire +1 more source
A neutral relation between metallic structure and almost quadratic {\phi}-structure
In this paper, metallic structure and almost quadratic metric phi-structure are studied. Based on metallic (polynomial) Riemannian manifold, Kenmotsu quadratic metric manifold, cosymplectic quadratic metric manifold are defined and gave some examples ...
Erken, İrem Küpeli +3 more
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A Survey on Riemannian Curvature Tensor for Certain Classes of Almost Contact Metric Manifolds [PDF]
This paper is survey the components of Riemannian curvature tensor over the associated space of G-structures for certain classes of almost contact metric manifolds.
Mohammed Abass
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Geometry of warped product semi-slant submanifolds of Kenmotsu manifolds
In this paper, we study semi-slant submanifolds and their warped products in Kenmotsu manifolds. The existence of such warped products in Kenmotsu manifolds is shown by an example and a characterization.
Uddin, Siraj
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A new curvature-like tensor in an almost contact Riemannian manifold
In a M. Prvanović’s paper [5], we can find a new curvature-like tensor in an almost Hermitian manifold.In this paper, we define a new curvature-like tensor, named contact holomorphic Riemannian, briefly (CHR), curvature tensor in an almost ...
Koji Matsumoto
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