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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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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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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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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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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, Murtaza Ali, Fiaz Hussain   +2 more
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Conformal Symmetries of the Strumia–Tetradis’ Metric

Physical Sciences Forum, 2023
In a recent paper, a new conformally flat metric was introduced, describing an expanding scalar field in a spherically symmetric geometry. The spacetime can be interpreted as a Schwarzschild-like model with an apparent horizon surrounding the curvature ...
Pantelis S. Apostolopoulos, Christos Tsipogiannis   +1 more
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A classification of Bianchi Type I solutions via conformal vector fields and energy conditions in modified teleparallel gravity

Results in Physics, 2023
The focus of this research is to investigate conformal vector fields (CVFs) of Bianchi type I space–times in modified teleparallel gravity (MTG). In order to determine such vector fields, we make a classification of said space–times.
Shabeela Malik, Fiaz Hussain, Taotao Sui, Arshad Ali, Sirajul Haq, Muhammad Ramzan   +5 more
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Symmetries of locally rotationally symmetric Bianchi type V spacetime

Results in Physics, 2023
In this paper, we classify the metric of locally rotationally symmetric Bianchi type V spacetime through its symmetries, including Killing, homothetic and conformal vector fields.
Jamshed Khan, Tahir Hussain, Nabil Mlaiki, Nahid Fatima   +3 more
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Some Results of Ricci Bi-Conformal Vector Fields [PDF]

Mathematics Interdisciplinary Research
‎The investigation of Ricci bi-conformal vector fields and their associated outcomes is crucial for gaining insights into the geometric and topological characteristics of the underlying manifolds‎.
Mahin Sohrabpour, Shahroud Azami
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Generalized Minkowski Type Integral Formulas for Compact Hypersurfaces in Pseudo-Riemannian Manifolds

Mathematics, 2023
We obtain some generalized Minkowski type integral formulas for compact Riemannian (resp., spacelike) hypersurfaces in Riemannian (resp., Lorentzian) manifolds in the presence of an arbitrary vector field that we assume to be timelike in the case where ...
Norah Alessa, Mohammed Guediri
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