Results 1 to 10 of about 13,074 (156)
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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Killing vector fields of locally rotationally symmetric Bianchi type V spacetime [PDF]
Scientific ReportsThe classification of locally rotationally symmetric Bianchi type V spacetime based on its killing vector fields is presented in this paper using an algebraic method.
Shakeel Ahmad +4 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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On the Geometry of the Orbits of Killing Vector Fields
Lecture Notes in Networks and Systems, 2023 6 ...
A Ya Narmanov
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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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Zermelo deformation of finsler metrics by killing vector fields
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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Geometry of foliations of Minkowski spaces [PDF]
E3S Web of Conferences, 2023 As is well known, foliations of constant curvature and foliations generated by the orbits of Killing vector fields are important classes of foliations from a geometric point of view.
Artykbaev A. +2 more
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Symmetries of locally rotationally symmetric Bianchi type V spacetime
Results in Physics, 2023 In this paper, we classify the metric of locally rotationally symmetric Bianchi type V spacetime through its symmetries, including Killing, homothetic and conformal vector fields.
Jamshed Khan +3 more
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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 Jacobi-Type Vector Fields on Riemannian Manifolds
Mathematics, 2019 In this article, we study Jacobi-type vector fields on Riemannian manifolds. A Killing vector field is a Jacobi-type vector field while the converse is not true, leading to a natural question of finding conditions under which a Jacobi-type vector field ...
Bang-Yen Chen +2 more
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