Results 1 to 10 of about 129,599 (167)
Killing spinors are Killing vector fields in Riemannian Supergeometry [PDF]
Journal of Geometry and Physics, 1997 A supermanifold M is canonically associated to any pseudo Riemannian spin manifold (M_0,g_0). Extending the metric g_0 to a field g of bilinear forms g(p) on T_p M, p\in M_0, the pseudo Riemannian supergeometry of (M,g) is formulated as G-structure on M,
Alekseevsky +10 more
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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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Zermelo deformation of Finsler metrics by Killing vector fields [PDF]
Electronic Research Announcements, 2017 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.
Foulon, Patrick, Matveev, Vladimir S.
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Weakly charged generalized Kerr–NUT–(A)dS spacetimes
Physics Letters B, 2017 We find an explicit solution of the source free Maxwell equations in a generalized Kerr–NUT–(A)dS spacetime in all dimensions. This solution is obtained as a linear combination of the closed conformal Killing–Yano tensor hab, which is present in such a ...
Valeri P. Frolov +2 more
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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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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
Sharief Deshmukh, Olga Belova
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Geometric properties of almost pure metric plastic pseudo-Riemannian manifolds [PDF]
HeliyonThis paper investigates the geometric and structural properties of almost plastic pseudo-Riemannian manifolds, with a specific focus on three-dimensional cases.
Cagri Karaman +3 more
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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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