Results 11 to 20 of about 130,273 (231)
Zermelo deformation of finsler metrics by killing vector fields [PDF]
Electronic Research Announcements in Mathematical Sciences, 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.
Vladimir S Matveev
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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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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.
Sharief Deshmukh, Olga Belova
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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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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. We establish a connection between the property of a vector field on a doubly warped product manifold and its components on the factor manifolds to be Killing or 2-Killing.
Adara M Blaga, Cihan Özgur
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On Finsler spacetimes with a timelike Killing vector field
Classical and Quantum Gravity, 2018 We study Finsler spacetimes and Killing vector fields taking care of the fact that the generalized metric tensor associated to the Lorentz-Finsler function $L$ is in general well defined only on a subset of the slit tangent bundle.
Erasmo Caponio
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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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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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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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Hypersurfaces in a Euclidean Space with a Killing Vector Field
AIMS Mathematics, 2023 An odd-dimensional sphere admits a killing vector field, induced by the transform of the unit normal by the complex structure of the ambiant Euclidean space. In this paper, we study orientable hypersurfaces in a Euclidean space those admit a unit Killing vector field and find two characterizations of odd-dimensional spheres.
Mohammed Guediri, Sharief Deshmukh
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