Results 1 to 10 of about 1,107 (154)

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

Axioms, 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, Abdul Haseeb, Fatemah Mofarreh   +2 more
doaj   +1 more source

Generalized Kenmotsu Manifolds

, 2014
In 1972, K. Kenmotsu studied a class of almost contact Riemannian manifolds. Later, such a manifold was called a Kenmotsu manifold. This paper, we studied Kenmotsu manifolds with $(2n+s)$-dimensional $s-$contact metric manifold and this manifold, we have called generalized Kenmotsu manifolds. Necessary and sufficient condition is given for an almost $s-
VANLI, AYSEL, SARI, RAMAZAN
openaire   +3 more sources

On nearly Kenmotsu manifolds

TURKISH 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, Niloufar HOSSEINPOUR KASHANI   +1 more
openaire   +1 more source

The Schouten-van Kampen affine connection adapted to an almost (para) contact metric structure

, 2013
We study the Schouten-van Kampen connection associated to an almost contact or paracontact metric structure. With the help of such a connection, some classes of almost (para) contact metric manifolds are characterized.
Olszak, Zbigniew
core   +1 more source

Harmonic Maps on Kenmotsu Manifolds

Analele 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

Totally umbilical proper slant submanifolds of para-Kenmotsu manifold

Cubo, 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

Geometry of warped product semi-slant submanifolds of Kenmotsu manifolds

, 2017
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
core   +1 more source

Foliations and Chern-Heinz inequalities

, 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, Elbert, G. P. BESSA, Gårding, Isabel, J. F. MONTENEGRO, J. L. M. BARBOSA, Schoen   +7 more
core   +1 more source

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

Karpatsʹkì 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

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

, 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