Results 231 to 240 of about 2,888 (257)

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
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Conformal Vector Fields and Conformal–Type Collineations in Space-Times

General Relativity and Gravitation, 2000
This 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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On geometry of conformal vector fields

Итоги науки и техники Серия «Современная математика и ее приложения Тематические обзоры», 2022
Abdigappar Yakubovich Narmanov, O.Y. Qasimov, Eldor Odilbekovich Rajabov   +2 more
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Conformal vector fields of a class of Finsler spaces

Periodica Mathematica Hungarica
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Affine conformal vector fields

2020
oz AFİN KONFORM VEKTÖR ALANLARI Güzelgöz, M. Işık Yüksek Lisans, Matematik Bölümü Tez Yöneticisi : Prof. Dr. Cem Tezer Haziran 1996, 30 sayfa Bu çalışmanın amacı, yarı-Riemann uzaylar üzerinde verilmiş afin konform vektör alanlarının (ACV 1er) temel özelliklerini, bilhassa konform Killing vektör alanlarının (CKV lerin) teşkil ettiği alt sınıfı göz ...
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Conformal vector fields on Finsler manifolds

International Journal of Mathematics, 2020
In 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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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.
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Characterizing spheres by conformal vector fields

ANNALI DELL'UNIVERSITA' DI FERRARA, 2010
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Vector and tensor fields on conformal space

Journal of Mathematical Physics, 1975
We consider in this paper vector and tensor fields on the compactified Minkowski space M4c and investigate their transformation properties under the group SO (2,4) of conformal transformations which are well defined on the manifold M4c contrary to their singular behavior on the pseudo−Euclidean noncompact Minkowski space M4.
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Ricci Bi-Conformal Vector Fields on Homogeneous Gödel-Type Spacetimes

Journal of Nonlinear Mathematical Physics, 2023
Mehdi Jafari, Shahroud Azami, Jafari Mehdi   +2 more
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