Results 1 to 10 of about 2,746 (159)
Geometry of conformal vector fields
Arab Journal of Mathematical Sciences, 2017 It is well known that the Euclidean space (Rn,〈,〉), the n-sphere Sn(c) of constant curvature c and Euclidean complex space form (Cn,J,〈,〉) are examples of spaces admitting conformal vector fields and therefore conformal vector fields are used in ...
Sharief Deshmukh
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Navigation problem and conformal vector fields [PDF]
AUT Journal of Mathematics and Computing, 2021 The navigation technique is very effective to obtain or classify a Finsler metric from a given a Finsler metric (especially a Riemannian metric) under an action of a vector field on a differential manifold.
Qiaoling Xia
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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.
Charles Frances
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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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Conformal vector fields in symmetric and conformal symmetric spaces
International Journal of Mathematics and Mathematical Sciences, 1989 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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Some conformal vector fields and conformal Ricci solitons on $N(k)$-contact metric manifolds [PDF]
AUT Journal of Mathematics and Computing, 2021 The target of this paper is to study $N(k)$-contact metric manifolds with some types of conformal vector fields like $\phi$-holomorphic planar conformal vector fields and Ricci biconformal vector fields.
Uday De, Arpan Sardar, Avijit Sarkar
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Conformal Vector Fields and Null Hypersurfaces
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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General light-cone gauge approach to conformal fields and applications to scalar and vector fields
Journal of High Energy Physics, 2023 Totally symmetric arbitrary spin conformal fields propagating in the flat space of even dimension greater than or equal to four are studied. For such fields, we develop a general ordinary-derivative light-cone gauge formalism and obtain restrictions ...
R. R. Metsaev
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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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Conformal and Disformal Structure of 3D Circularly Symmetric Static Metric in f(R) Theory of Gravity
Mehran University Research Journal of Engineering and Technology, 2020 conformal vector fields are treated as generalization of homothetic vector fields while disformal vector fields are defined through disformal transformations which are generalization of conformal transformations, therefore it is important to study ...
Muhammad Ramzan +2 more
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