Results 251 to 260 of about 3,483 (284)

A note on $$\varphi $$ φ -analytic conformal vector fields

Analysis and Mathematical Physics, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sharief Deshmukh, Nasser Bin Turki, Deshmukh Sharief   +2 more
exaly   +3 more sources

On conformal vector fields on Randers manifolds

Science China Mathematics, 2012
In an \(n\)-dimensional Finsler manifold \((M,F)\), a diffeomorphism \(\varphi\) is called a conformal transformation if it satisfies \(F(\varphi(x),\varphi_\ast(y))= e^{2c(x)}F(x,y)\), where \(y\in T_xM\), \(c(x)\) is a function on \(M\) and \(\varphi_\ast:T_xM\longrightarrow T_{\varphi(x)}M\) is the tangent map at a point \(x\).
Zhongmin Shen, Qiaoling Xia, Shen Zhongmin   +2 more
exaly   +3 more sources

Conformal vector fields on Kaehler manifolds

Annali Dell'Universita Di Ferrara, 2011
The author studies analytic conformal vector fields on non-compact Kähler manifolds \(M\) and looks for necessary conditions in order that such objects become Killing vector fields. The main results of the paper prove that two such additional hypothesis are: (i) \(\dim M \neq 4\) ; \(M\) has constant nowhere vanishing scalar curvature.
Sharief Deshmukh
exaly   +3 more sources

Conformal Vector Fields and Conformal Ricci Solitons on $$\alpha $$-Kenmotsu Manifolds

Mediterranean Journal of Mathematics, 2023
The object of the present paper is to give some properties of alpha-Kenmotsu manifolds admitting holomorphically planar conformal vector fields.
Maria Falcitelli, Avijit Sarkar, Sarkar Avijit   +2 more
exaly   +2 more sources

Characterization of Almost Yamabe Solitons and Gradient Almost Yamabe Solitons with Conformal Vector Fields

Symmetry, 2021
In this paper, some sufficient conditions of almost Yamabe solitons are established, such that the solitons are Yamabe metrics, by which we mean metrics of constant scalar curvature. This is achieved by imposing fewer topological constraints.
Ali H Alkhaldi, Abimbola Abolarinwa, Akram Ali   +2 more
exaly   +2 more sources

Conformal vector fields on tangent bundle of a Riemannian manifold

Journal of Mathematical Analysis and Applications, 2008
Let M be an n-dimensional Riemannian manifold and TM its tangent bundle. The conformal and fiber preserving vector fields on TM have well-known physical interpretations and have been studied by physicists and geometers using some Riemannian and pseudo ...
Esmaeil Peyghan
exaly   +2 more sources

Conformal vector fields and σk-scalar curvatures

Pacific Journal of Mathematics, 2022
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Xu, Xingwang, Ye, Jian
openaire   +1 more source

Zeros of conformal vector fields

Classical and Quantum Gravity, 1997
The authors study the behaviour of a conformal vector field \(X\) on a spacetime in the neighbourhood of a zero of \(X\).
Hall, G. S., Capocci, M. S., Beig, R.
openaire   +1 more source

On $\phi$-skew symmetric conformal vector fields

Publicationes Mathematicae Debrecen, 2001
Summary: The notion of the \(J\)-skew symmetric vector field was introduced by \textit{I. Mihai, L. Nicolescu} and \textit{R. Rosca} [Port. Math. 54, 215-228 (1997; Zbl 0880.53029)]. In the present paper, we deal with \(\varphi\)-skew symmetric conformal vector fields on a Kenmotsu manifold \(M(\varphi,\Omega,\eta,\xi,g)\).
Naitza, Dorotea, Oiagă, Adela
openaire   +1 more source

Essential conformal vector fields

Classical and Quantum Gravity, 1999
The author deduces the necessary and sufficient condition for a conformal Killing vector field on a pseudo-Riemannian manifold \((M,g)\) to be homothetic or even a Killing vector field with respect to a locally defined metric conformally related to \(g\).
openaire   +1 more source