Results 51 to 60 of about 1,125 (149)

Certain Curvature Conditions on Kenmotsu Manifolds and 🟉-η-Ricci Solitons

open access: yesAxioms, 2023
The present paper deals with the investigations of a Kenmotsu manifold satisfying certain curvature conditions endowed with 🟉-η-Ricci solitons. First we find some necessary conditions for such a manifold to be φ-Einstein. Then, we study the notion of 🟉-η-
Halil İbrahim Yoldaş   +2 more
doaj   +1 more source

On nearly Kenmotsu manifolds

open access: yesTURKISH JOURNAL OF MATHEMATICS, 2013
We prove that on a nearly Kenmotsu manifold a second-order symmetric closed recurrent tensor is a multiple of the associated metric tensor. We then find the necessary condition under which a vector field on a nearly Kenmotsu manifold will be a strict contact or Killing vector field.
Behzad NAJAFI   +1 more
openaire   +1 more source

Totally umbilical proper slant submanifolds of para-Kenmotsu manifold

open access: yesCubo, 2019
In this paper, we study slant submanifolds of a para-Kenmotsu manifold. We prove that totally umbilical slant submanifold of a para-Kenmotsu manifold is either invariant or anti-invariant or dimension of submanifold is 1 or the mean curvature vector H of
M.S. Siddesha, C.S. Bagewadi, D. Nirmala
doaj   +1 more source

Foliations and Chern-Heinz inequalities

open access: yes, 2006
We extend the Chern-Heinz inequalities about mean curvature and scalar curvature of graphs of $C^{2}$-functions to leaves of transversally oriented codimension one $C^{2}$-foliations of Riemannian manifolds.
Cheeger   +7 more
core   +1 more source

Harmonic Maps on Kenmotsu Manifolds

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2013
We study in this paper harmonic maps and harmonic morphisms on Kenmotsu manifolds. We also give some results on the spectral theory of a harmonic map for which the target manifold is a Kenmotsu manifold.
Rehman Najma Abdul
doaj   +1 more source

Generalized Z‐Solitons on LP‐Sasakian Manifolds With the General Connection

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
This work focuses on LP‐Sasakian manifolds endowed with generalized Z‐solitons constructed with respect to an arbitrary affine connection. To conclude, we provide an explicit and nontrivial example in the four‐dimensional case, thereby establishing the realization of such solitons on LP‐Sasakian manifolds.
Shahroud Azami   +2 more
wiley   +1 more source

A study on conformal Ricci solitons and conformal Ricci almost solitons within the framework of almost contact geometry

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2023
The goal of this paper is to find some important Einstein manifolds using conformal Ricci solitons and conformal Ricci almost solitons. We prove that a Kenmotsu metric as a conformal Ricci soliton is Einstein if it is an $\eta$-Einstein or the potential ...
S. Dey
doaj   +1 more source

Optimization of Soliton Structures Using Lifting Theory on Tangent Bundles of Statistical Kenmotsu Manifolds

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
This paper investigates the optimization of soliton structures on tangent bundles of statistical Kenmotsu manifolds through lifting theory. By constructing lifted statistical Kenmotsu structures using semisymmetric metric and nonmetric connections, we derive explicit expressions for the curvature tensor, Ricci operator, and scalar curvature. We analyze
Mohammad Nazrul Islam Khan   +3 more
wiley   +1 more source

Almost Kenmotsu 3-h-manifolds with transversely Killing-type Ricci operators

open access: yesOpen Mathematics, 2020
In this paper, it is proved that the Ricci operator of an almost Kenmotsu 3-h-manifold M is of transversely Killing-type if and only if M is locally isometric to the hyperbolic 3-space ℍ3(−1){{\mathbb{H}}}^{3}(-1) or a non-unimodular Lie group endowed ...
Pan Quanxiang, Wu Hui, Wang Yajie
doaj   +1 more source

Sewing cells in almost cosymplectic and almost Kenmotsu geometry [PDF]

open access: yes, 2012
For a finite family of 3-dimensional almost contact metric manifolds with closed the structure form $\eta$ is described a construction of an almost contact metric manifold, where the members of the family are building blocks - cells.
Dacko, Piotr
core  

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