Results 1 to 10 of about 93,031 (274)
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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Conformal Vector Fields on Doubly Warped Product Manifolds and Applications [PDF]
Advances in Mathematical Physics, 2016 This article aimed to study and explore conformal vector fields on doubly warped product manifolds as well as on doubly warped spacetime. Then we derive sufficient conditions for matter and Ricci collineations on doubly warped product manifolds.
H. K. El-Sayied +2 more
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Bi-conformal vector fields and their applications [PDF]
Classical and Quantum Gravity, 2004 We introduce the concept of bi-conformal transformation, as a generalization of conformal ones, by allowing two orthogonal parts of a manifold with metric $\G$ to be scaled by different conformal factors.
Alfonso García-Parrado +39 more
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Essential points of conformal vector fields
Journal of Geometry and Physics, 2010 For a conformal vector field $\xi$ on a Riemannian manifold, we say that a point is essential if there is no local metric in the conformal class for which $\xi$ is Killing. We show that the only essential points are isolated zeros of $\xi$.
Belgun, Florin +2 more
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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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N = 2 dilaton Weyl multiplet in 4D supergravity
Journal of High Energy Physics, 2018 We construct the dilaton Weyl multiplet for N = 2 conformal supergravity in four dimensions. Beginning from an on-shell vector multiplet coupled to the standard Weyl multiplet, the equations of motion can be used to eliminate the supergravity auxiliary ...
Daniel Butter +3 more
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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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