Results 11 to 20 of about 47 (47)

D-Homothetically Deformed Kenmotsu Metric as a Ricci Soliton

Annales Mathematicae Silesianae, 2019
In this paper we study the nature of Ricci solitons in D-homo-thetically deformed Kenmotsu manifolds. We prove that η -Einstein Kenmotsu metric as a Ricci soliton remains η -Einstein under D-homothetic deformation and the scalar curvature remains ...
Kumar D.L. Kiran, Nagaraja H.G., Venu K.
doaj   +1 more source

Generalized almost paracontact structures

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2015
The notion of generalized almost paracontact structure on the generalized tangent bundle TM ⊕ T* M is introduced and its properties are investigated.
Blaga Adara M., Ida Cristian
doaj   +1 more source

A dimensional restriction for a class of contact manifolds

Demonstratio Mathematica, 2017
In this work we consider a class of contact manifolds (M, η) with an associated almost contact metric Structure (ϕ, ξ, η, g). This class contains, for example, nearly cosymplectic manifolds and the manifolds in the class C9 ⊕ C10 defined by Chinea and ...
Loiudice Eugenia
doaj   +1 more source

Soliton on Sasakian manifold endowed with quarter-symmetric non-metric connection on the tangent bundle [PDF]

Arab Journal of Mathematical Sciences
PurposeThe purpose of this paper is to study the properties of the solitons on Sasakian manifold on the tangent bundle with respect to quarter symmetric non metric connection.Design/methodology/approachWe used the vertical and complete lifts, Ricci ...
Lalnunenga Colney, Rajesh Kumar
doaj   +1 more source

Integrability of Reeb Distribution Associated to a Generalized Engel Manifold

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we define a generalized Reeb distribution of an Engel 4n‐manifold and give a necessary and sufficient condition for integrability of this Reeb distribution which gives a generalization of some results of N. Pia about Reeb distributions of Engel 4‐manifolds.
Serigne Abdoul Aziz Dramé, Cheikh Khoule, Hamidou Dathe, Murat Altunbaş   +3 more
wiley   +1 more source

Formes de contact ayant le même champ de Reeb [PDF]

, 2011
2000 Mathematics Subject Classification: 37J55, 53D10, 53D17, 53D35.In this paper, we study contact forms on a 3-manifold having a common Reeb vector field R.
Aggoun, Saad
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Singularities of spherical surface in R4

Open Mathematics
In this article, we mainly study the geometric properties of spherical surface of a curve on a hypersurface Σ\Sigma in four-dimensional Euclidean space.
Liu Haiming, Hua Yuefeng, Li Wanzhen
doaj   +1 more source

Deformations of Integral 1‐Form Into Contact‐Symplectic Pair

Journal of Mathematics, Volume 2025, Issue 1, 2025.
The aim of this paper is to give a necessary and sufficient condition of the affine deformation of a contact‐symplectic pair via a codimension‐one foliation. Some examples are also given.
Serigne Abdoul Aziz Dramé, Cheikh Khoule, Ameth Ndiaye, Erhan Güler   +3 more
wiley   +1 more source

Structures de contact invariantes [PDF]

, 2013
Let M be a compact manifold of dimension three with a contact structure [ω]. The Lie algebra A([ω]) of infinitesimal automorphisms of [ω] is of infinite dimension. In this paper we study the subalgebras of A([ω]) of finite dimensions.
Aggoun, Saad
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Secoond order parallel tensors on some paracontact manifolds

, 2017
The object of the present paper is to study the symmetric and skewsymmetric properties of a second order parallel tensor on paracontact metric (k;μ)- spaces and almost β-para-Kenmotsu (k;μ)-spaces.
Pan, Quanxiang, Liu, Ximin
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