Results 11 to 20 of about 8,017,385 (274)
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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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 Killing Vector Fields on Riemannian Manifolds [PDF]
Mathematics, 2021 We study the influence of a unit Killing vector field on geometry of Riemannian manifolds. For given a unit Killing vector field w on a connected Riemannian manifold (M,g) we show that for each non-constant smooth function f∈C∞(M) there exists a non-zero vector field wf associated with f.
Olga Belova, Sharief Deshmukh
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Primordial Magnetogenesis from Killing Vector Fields
UniversePapapetrou showed that the covariant derivative of a Killing vector field satisfies Maxwell’s equations in vacuum. Papapetrou’s result is extended, in this article, and it is shown that the covariant derivative of a Killing vector field satisfies Maxwell’
Nagabhushana Prabhu
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Killing spinors are killing vector fields in Riemannian supergeometry [PDF]
Journal of Geometry and Physics, 1998 14 pages, latex, one typo ...
Alekseevsky, D. +3 more
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Sufficient Conditions for Periodicity of a Killing Vector Field [PDF]
Proceedings of the American Mathematical Society, 1973 Let X X be a complete Killing vector field on an
Walter C. Lynge
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Zermelo deformation of finsler metrics by killing vector fields [PDF]
Electronic Research Announcements, 2018 We show how geodesics, Jacobi vector fields and flag curvature of a Finsler metric behave under Zermelo deformation with respect to a Killing vector field. We also show that Zermelo deformation with respect to a Killing vector field of a locally symmetric Finsler metric is also locally symmetric.
Foulon, Patrick, Matveev, Vladimir
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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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On the Geometry of the Orbits of Killing Vector Fields
, 2023 6 ...
Narmanov, A. Ya., Aslonov, J. O.
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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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