Results 11 to 20 of about 125 (89)

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

Journal 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, Ghodratallah Fasihi-Ramandi, Mohd Danish Siddiqi   +2 more
doaj   +3 more sources

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

International 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, Mahmood, Amjad, Ali, Ahmad T.   +2 more
core   +7 more sources

On an Anti-Torqued Vector Field on Riemannian Manifolds

Mathematics, 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, Ibrahim Al-Dayel, Devaraja Mallesha Naik   +2 more
doaj   +2 more sources

Statistical Solitonic Impact on Submanifolds of Kenmotsu Statistical Manifolds

Mathematics
In this article, we delve into the study of statistical solitons on submanifolds of Kenmotsu statistical manifolds, introducing the presence of concircular vector fields. This investigation is further extended to study the behavior of almost quasi-Yamabe
Abdullah Ali H. Ahmadini, Mohd. Danish Siddiqi, Aliya Naaz Siddiqui   +2 more
doaj   +2 more sources

Geometry of concircular curvature tensor of Nearly Kahler manifold

Tikrit Journal of Pure Science, 2023
In this paper, we study the necessary condition where a nearly Kahler manifold of flat concircular tensor has been found.  And the relationship between these invariants and additional properties of symmetry concircular tensor, as well as geometrical ...
Taha H. Jasim, Ali A. Shihab, Rawaa A. Zabin   +2 more
doaj   +1 more source

On harmonic and biharmonic maps from gradient Ricci solitons

Mathematische 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

ρ‐Einstein Solitons on Warped Product Manifolds and Applications

Journal 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, Sameh Shenawy, H. K. EL-Sayied, N. Syied, C. A. Mantica, Antonio Masiello   +5 more
wiley   +1 more source

Special concircular vector fields in Riemannian manifolds

Hiroshima Mathematical Journal, 1982
exaly   +3 more sources

On a Classification of Almost C(α)‐Manifolds

Journal 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

LP‐Kenmotsu Manifolds Admitting η‐Ricci Solitons and Spacetime

Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022
In the present paper, LP‐Kenmotsu manifolds admitting η‐Ricci solitons have been studied. Moreover, some results for η‐Ricci solitons in LP‐Kenmotsu manifolds in the spacetime of general relativity have also been proved. Through a nontrivial example, we have given a proof for the existence of η‐Ricci solitons in a 5‐dimensional LP‐Kenmotsu manifold.
Yanlin Li, Abdul Haseeb, Musavvir Ali, G. Muhiuddin   +3 more
wiley   +1 more source