Results 251 to 260 of about 5,240 (289)

On m-Modified Conformal Vector Fields

Journal of Geometric Analysis, 2023
The authors introduce the notion of \(m\)-modified conformal vector fields. It is shown that compact Riemannian manifolds admit no \(m\)-modified conformal vector fields of constant length. It is also shown that the existence of a left-invariant \(m\)-modified conformal vector field on a Riemannian Lie group \(\left( G,\left\langle \cdot ,\cdot \right ...
Chen Zhiqi
exaly   +3 more sources

Conformal vector fields on spacetimes

Annals of Global Analysis and Geometry, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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

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

Gradient Ricci solitons with a conformal vector field

Journal of Geometry, 2018
We show that a connected gradient Ricci soliton (M,g,f,λ) with constant scalar curvature and admitting a non-homothetic conformal vector field V leaving the potential vector field invariant, is Einstein and the potential function f is constant.
Sharma Ramesh
exaly   +3 more sources