Results 11 to 20 of about 85,217 (188)
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 +3 more
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On Jacobi-Type Vector Fields on Riemannian Manifolds
Mathematics, 2019 In this article, we study Jacobi-type vector fields on Riemannian manifolds. A Killing vector field is a Jacobi-type vector field while the converse is not true, leading to a natural question of finding conditions under which a Jacobi-type vector field ...
Bang-Yen Chen +2 more
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On Magnetic Curves According to Killing Vector Fields in Euclidean 3-Space
International Journal of Analysis and Applications, 2022 In the geometric theory of space curves, a magnetic field generates magnetic flow. The trajectories of magnetic flow are called magnetic curves. In the present paper, we obtain magnetic curves corresponding to killing magnetic fields in Euclidean 3-space
M. Khalifa Saad +2 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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Harmonic-Killing vector fields
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2002 The authors introduce the notion of 1-harmonic-Killing (1-h-K) vector fields, i.e., vector fields whose corresponding 1-parameter group of local transformations consists of maps which have vanishing linear part of their tension field. It is shown that a vector field is a Jacobi field along the identity map if and only if it is a 1-h-K vector field ...
Dodson, C. T. J. +2 more
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On an Anti-Torqued Vector Field on Riemannian Manifolds
Mathematics, 2021 A torqued vector field ξ is a torse-forming vector field on a Riemannian manifold that is orthogonal to the dual vector field of the 1-form in the definition of torse-forming vector field. In this paper, we introduce an anti-torqued vector field which is
Sharief Deshmukh +2 more
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On the existence of Killing vector fields [PDF]
, 1999 In covariant metric theories of coupled gravity-matter systems the necessary and sufficient conditions ensuring the existence of a Killing vector field are investigated.
Arms J M +19 more
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Killing vector fields and harmonic forms [PDF]
Transactions of the American Mathematical Society, 1974 The paper is concerned with harmonic ( p , q ) (p,q) -forms on compact Kähler manifolds which admit Killing vector fields with discrete zero sets. Let h p , q {h^{p,q}} denote the dimension of the space of ...
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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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Complex Surfaces and Null Conformal Killing Vector Fields
The Journal of Geometric Analysis, 2023 21 pages, minor ...
J. Davidov, G. Grantcharov, O. Mushkarov
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