Results 21 to 30 of about 85,733 (177)
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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Classification of Cohomogeneity One Strings [PDF]
, 2005 We define the cohomogeneity one string, string with continuous symmetries, as its world surface is tangent to a Killing vector field of a target space. We classify the Killing vector fields by an equivalence relation using isometries of the target space.
A. Vilenkin +3 more
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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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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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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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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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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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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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