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Pseudo-Riemannian Lie groups admitting left-invariant conformal vector fields
Comptes Rendus. Mathématique, 2020 Let $G$ be a Lorentzian Lie group or a pseudo-Riemannian Lie group of type $(n-2,2)$. If $G$ admits a non-Killing left-invariant conformal vector field, then $G$ is solvable.
Zhang, Hui, Chen, Zhiqi
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Lightlike reduction of the M5 brane
Journal of High Energy Physics, 2023 We obtain a Lagrangian for a lightlike dimensional reduction of the nonabelian M5 brane theory in six dimension. We assume that the six-manifold has at least one conformal Killing spinor and two commuting lightlike Killing vector fields, and we perform ...
Andreas Gustavsson
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Killing Vector Fields and Holonomy Algebras [PDF]
Proceedings of the American Mathematical Society, 1984 We prove that for each Killing vector field X X on a complete Riemannian manifold, whose orthogonal distribution is involutive, the ( 1 , 1 ) (1,1) skew-symmetric operator A X {A_X} associated to X X by
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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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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 +5 more
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On completeness of orbits of Killing vector fields [PDF]
, 1993 A Theorem is proved which reduces the problem of completeness of orbits of Killing vector fields in maximal globally hyperbolic, say vacuum, space--times to some properties of the orbits near the Cauchy surface. In particular it is shown that all Killing
Brill D +15 more
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On related vector fields of capillary surfaces
International Journal of Mathematics and Mathematical Sciences, 1981 In this paper, some necessary and sufficient conditions are given for the related vector fields of capillary surfaces to be Killing, conformal Killing, and homothetic conformal Killing vectors in the n-dimensional domain Ω, and a construction of ...
Afet K. Özok
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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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Killing Vector Fields on Complete Riemannian Manifolds [PDF]
Proceedings of the American Mathematical Society, 1982 We discuss Killing vector fields with finite global norms on complete Riemannian manifolds whose Ricci curvatures are nonpositive or negative.
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Killing Vector Fields in Three Dimensions: A Method to Solve Massive Gravity Field Equations [PDF]
, 2010 Killing vector fields in three dimensions play important role in the construction of the related spacetime geometry. In this work we show that when a three dimensional geometry admits a Killing vector field then the Ricci tensor of the geometry is ...
Aliev A N +24 more
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