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Killing and 2-Killing Vector Fields on Doubly Warped Products
Mathematics, 2023 We provide a condition for a 2-Killing vector field on a compact Riemannian manifold to be Killing and apply the result to doubly warped product manifolds.
Adara M. Blaga, Cihan Özgür
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A Note on Killing Calculus on Riemannian Manifolds
Mathematics, 2021 In this article, it has been observed that a unit Killing vector field ξ on an n-dimensional Riemannian manifold (M,g), influences its algebra of smooth functions C∞(M).
Sharief Deshmukh +3 more
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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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European Physical Journal C: Particles and Fields, 2020 We consider the structure of halos of the axionic dark matter, which surround massive relativistic objects with static spherically symmetric gravitational field and monopole-type magneto-electric fields.
Alexander B. Balakin, Dmitry E. Groshev
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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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Geometry of Ricci solitons admitting a new geometric vector field [PDF]
AUT Journal of Mathematics and ComputingIn the present paper, we introduce a new geometric vector field (it will be called semi-Killing field) on semi-Riemannaian manifolds. A complete classification of semi-Killing vector fields on 3-dimensional Walker manifolds will be derived.
Farzaneh Shamkhali +2 more
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Reeb vector field of almost contact metric structure as affine motion
Дифференциальная геометрия многообразий фигур, 2022 Smooth manifold with almost contact metric structure (i. e., almost contact metric manifold) was considered in this paper. We used a modern version of Cartan’s method of external forms to conduct our study.
L.A. Ignatochkina
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Isometries and the double copy
Journal of High Energy Physics, 2023 In the standard derivation of the Kerr-Schild double copy, the geodicity of the Kerr-Schild vector and the stationarity of the spacetime are presented as assumptions that are necessary for the single copy to satisfy Maxwell’s equations.
Damien A. Easson +3 more
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Symmetries of N $$ \mathcal{N} $$ = (1, 0) supergravity backgrounds in six dimensions
Journal of High Energy Physics, 2021 General N $$ \mathcal{N} $$ = (1, 0) supergravity-matter systems in six dimensions may be described using one of the two fully fledged superspace formulations for conformal supergravity: (i) SU(2) superspace; and (ii) conformal superspace.
Sergei M. Kuzenko +3 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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