Results 221 to 230 of about 2,888 (257)

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

Local dynamics of conformal vector fields [PDF]

Geometriae Dedicata, 2011
The aim of the paper is to understand the local forms of conformal vector fields in the neighborhood of a singularity. We begin a general study in this direction, for any pseudo-Riemannian type, and give a complete answer in the Riemannian case. This is done using geometric methods, and studying local dynamics of sequences of conformal transformations.
Charles Frances
exaly   +4 more sources

Conformal vector fields on spacetimes

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

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

Analysis and Mathematical Physics, 2017
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Nasser Bin Turki, Sharief Deshmukh, Deshmukh Sharief   +2 more
exaly   +3 more sources

CONFORMAL VECTOR FIELDS AND TOTALLY UMBILIC HYPERSURFACES [PDF]

Bulletin of the Korean Mathematical Society, 2002
Let \((M^n,g)\), \(n\geq 2\), be a connected semi-Riemannian hypersurface of a semi-Riemannian space form \((\overline{M}_k^{n+1}(\overline{c}),\overline{g})\) of signature \(k\). Assume that the ambient manifold carries a conformal vector field \(V\) such that the tangential part \((V|M^n)^T\) becomes a conformal vector field on the hypersurface. Then
Kim, Dong-Soo, Kim, Seon-Bu, Kim, Young Ho, Park, Seong-Hee   +3 more
exaly   +2 more sources

Conformal Vector Fields and Eigenvectors of Laplacian Operator

Mathematical Physics Analysis and Geometry, 2012
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Sharief Deshmukh, Deshmukh Sharief
exaly   +3 more sources

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