Results 11 to 20 of about 8,364,083 (287)
Closed conformal vector fields on pseudo-Riemannian manifolds [PDF]
International Journal of Mathematics and Mathematical Sciences, 2006 We give here a geometric proof of the existence of certain local coordinates on a pseudo-Riemannian manifold admitting a closed conformal vector field.
D. A. Catalano
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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.
Frances, Charles, Charles Frances
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Conformal Vector Fields and Null Hypersurfaces [PDF]
Results in Mathematics, 2022 Abstract We give conditions for a conformal vector field to be tangent to a null hypersurface. We particularize to two important cases: a Killing vector field and a closed and conformal vector field. In the first case, we obtain a result ensuring that a null hypersurface is a Killing horizon.
Cyriaque Atindogbé, Benjamín Olea
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Conformal vector fields on lcK manifolds [PDF]
Mathematical Research Letters, 2023 We show that any conformal vector field on a compact lcK manifold is Killing with respect to the Gauduchon metric. Furthermore, we prove that any conformal vector field on a compact lcK manifold whose Kähler cover is neither flat, nor hyperkähler, is holomorphic.
Moroianu, Andrei, Pilca, Mihaela
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Killing Vector Fields in Generalized Conformal β-Change of Finsler Spaces [PDF]
Journal of Mathematics, 2015 We consider a Finsler space equipped with a Generalized Conformal β-change of metric and study the Killing vector fields that correspond between the original Finsler space and the Finsler space equipped with Generalized Conformal β-change of metric.
Mallikarjun Yallappa Kumbar +3 more
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Pseudo-Riemannian Lie groups admitting left-invariant conformal vector fields [PDF]
Comptes Rendus. Mathématique, 2020 Let $G$ be a Lorentzian Lie group or a pseudo-Riemannian Lie group of type $(n-2,2)$. If $G$ admits a non-Killing left-invariant conformal vector field, then $G$ is solvable.
Zhang, Hui, Chen, Zhiqi
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Hidden conformal symmetry for vector field on various black hole backgrounds
Journal of High Energy Physics, 2018 Hidden conformal symmetries of scalar field on various black hole backgrounds have been investigated for years, but whether those features hold for other fields are still open questions. Recently, with proper assumptions, Lunin achieved to the separation
Changfu Shi +2 more
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Conformal vector fields in symmetric and conformal symmetric spaces
International Journal of Mathematics and Mathematical Sciences, 1988 Consequences of the existence of conformal vector fields in (locally) symmetric and conformal symmetric spaces, have been obtained. An attempt has been made for a physical interpretation of the consequences in the framework of general relativity.
Ramesh Sharma
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The zero set of conformal vector fields
, 2010 We show that every connected component of the zero set of a conformal vector field on a Riemannian manifold is totally ...
Moroianu, Andrei, Ornea, Liviu
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Bi-conformal vector fields and their applications [PDF]
Classical and Quantum Gravity, 2004 Replaced version with some changes in the terminology and a new theorem.
García-Parrado, Alfonso +1 more
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