Results 11 to 20 of about 103 (82)

2-Conformal Vector Fields on the Model Sol Space and Hyperbolic Ricci Solitons

open access: yesJournal of Mathematics
In this study, we present the notion of 2-conformal vector fields on Riemannian and semi-Riemannian manifolds, which are an extension of Killing and conformal vector fields. Next, we provide suitable vector fields in Sol space that are 2-conformal. A few
Rawan Bossly   +2 more
doaj   +2 more sources

Concircular vector fields for Kantowski–Sachs and Bianchi type-III spacetimes [PDF]

open access: yesInternational Journal of Geometric Methods in Modern Physics, 2018
This paper intends to obtain concircular vector fields (CVFs) of Kantowski–Sachs and Bianch type-III spacetimes. For this purpose, ten conformal Killing equations and their general solution in the form of conformal Killing vector fields (CKVFs) are derived along with their conformal factors. The obtained conformal Killing vector fields are then placed
Khan, Suhail   +2 more
  +6 more sources

On Generalized Recurrent and Generalized Concircularly Recurrent Weyl Manifolds

open access: yesSakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2021
In the present work, generalized recurrent and generalized concircularly recurrent Weyl manifolds are examined. We define nearly quasi-Einstein Weyl manifolds and we proved that if a generalized recurrent or generalized concircularly recurrent Weyl ...
İlhan Gül
doaj   +1 more source

On an Anti-Torqued Vector Field on Riemannian Manifolds

open access: yesMathematics, 2021
A torqued vector field ξ is a torse-forming vector field on a Riemannian manifold that is orthogonal to the dual vector field of the 1-form in the definition of torse-forming vector field. In this paper, we introduce an anti-torqued vector field which is
Sharief Deshmukh   +2 more
doaj   +1 more source

Anti-Invariant Lorentzian Submersions From Lorentzian Concircular Structure Manifolds

open access: yesFrontiers in Physics, 2022
This research article attempts to investigate anti-invariant Lorentzian submersions and the Lagrangian Lorentzian submersions (LLS) from the Lorentzian concircular structure [in short (LCS)n] manifolds onto semi-Riemannian manifolds with relevant non ...
M. Danish Siddiqi   +3 more
doaj   +1 more source

On harmonic and biharmonic maps from gradient Ricci solitons

open access: yesMathematische Nachrichten, Volume 296, Issue 11, Page 5109-5122, November 2023., 2023
Abstract We study harmonic and biharmonic maps from gradient Ricci solitons. We derive a number of analytic and geometric conditions under which harmonic maps are constant and which force biharmonic maps to be harmonic. In particular, we show that biharmonic maps of finite energy from the two‐dimensional cigar soliton must be harmonic.
Volker Branding
wiley   +1 more source

Characterizing small spheres in a unit sphere by Fischer–Marsden equation

open access: yesJournal of Inequalities and Applications, 2022
We use a nontrivial concircular vector field u on the unit sphere S n + 1 $\mathbf{S}^{n+1}$ in studying geometry of its hypersurfaces. An orientable hypersurface M of the unit sphere S n + 1 $\mathbf{S}^{n+1}$ naturally inherits a vector field v and a ...
Nasser Bin Turki   +2 more
doaj   +1 more source

ρ‐Einstein Solitons on Warped Product Manifolds and Applications

open access: yesJournal of Mathematics, Volume 2022, Issue 1, 2022., 2022
The purpose of this research is to investigate how a ρ‐Einstein soliton structure on a warped product manifold affects its base and fiber factor manifolds. Firstly, the pertinent properties of ρ‐Einstein solitons are provided. Secondly, numerous necessary and sufficient conditions of a ρ‐Einstein soliton warped product manifold to make its factor ρ ...
Nasser Bin Turki   +5 more
wiley   +1 more source

On a Classification of Almost C(α)‐Manifolds

open access: yesJournal of Mathematics, Volume 2022, Issue 1, 2022., 2022
In this paper, pseudosymmetric and Ricci pseudosymmetric almost C(α)‐manifold are studied. For an almost C(α)‐manifold, Riemann pseudosymmetric, Riemann Ricci pseudosymmetric, Ricci pseudosymmetric, projective pseudosymmetric, projective Ricci pseudosymmetric, concircular pseudosymmetric, and concircular Ricci pseudosymmetric cases are considered and ...
Tuğba Mert, Serkan Araci
wiley   +1 more source

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