Results 251 to 260 of about 111,827 (288)
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On m-Modified Conformal Vector Fields
The Journal of Geometric Analysis, 2023The 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 ...
Zhang, Hui, Chen, Zhiqi
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Conformal vector fields and σk-scalar curvatures
Pacific Journal of Mathematics, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xu, Xingwang, Ye, Jian
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Zeros of conformal vector fields
Classical and Quantum Gravity, 1997The 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.
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On $\phi$-skew symmetric conformal vector fields
Publicationes Mathematicae Debrecen, 2001Summary: 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
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Essential conformal vector fields
Classical and Quantum Gravity, 1999The 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 \(g\).
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Conformal Vector Fields on Finsler Warped Product Manifolds
Acta Mathematica Sinica, English Series, 2023The authors study Finsler manifolds which are equipped with a special form of Finsler metric known as Finsler warped product metric, and investigate conformal vector fields on such manifolds. They obtain a system of equivalent equations in Theorem 1.1 that the conformal vector fields on Finsler warped product manifolds satisfy and which completely ...
Zhang, Xiao Ling, Feng, Ya Lu
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Conformal vector fields on spacetimes
Annals of Global Analysis and Geometry, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Conformal Vector Fields and Conformal Ricci Solitons on $$\alpha $$-Kenmotsu Manifolds
Mediterranean Journal of Mathematics, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Maria Falcitelli +2 more
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Conformal Vector Fields and Conformal–Type Collineations in Space-Times
General Relativity and Gravitation, 2000This article discusses the existence of homothetic and conformal vector fields in spacetimes with a Killing symmetry. The study of Weyl invariants along the integral curves of the conformal vector fields leads to restrictions for the existence of such fields. A non-existence theorem for proper conformal fields in spacetimes of certain Petrov classes is
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Conformal vector fields on Finsler manifolds
International Journal of Mathematics, 2020In this paper, we give an equivalent characterization of conformal vector fields on a Finsler manifold [Formula: see text], whose metric [Formula: see text] is defined by a Riemannian metric [Formula: see text] and a 1-form [Formula: see text]. This characterization contains all related results in [Z. Shen and Q.
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