Results 241 to 250 of about 8,017,385 (274)

Harmonic-Killing vector fields on Kähler manifolds.

open access: yesBulletin Romanian Mathematical Society, 2000
In a previous paper [Bull. Belg. Math. Soc. - Simon Stevin 9, No. 4, 481--490 (2002; Zbl 1044.53052)], the authors introduced the notion of harmonic-Killing (1-harmonic-Killing) vector field \(X\) on a pseudo-Riemannian manifold \((M,g)\) for which the local 1-parameter group of infinitesimal transformations associated to \(X\) is a group of harmonic ...
Dodson, Christopher   +2 more
core   +13 more sources

Spectral Properties of Killing Vector Fields of Constant Length and Bounded Killing Vector Fields

Trends in Mathematics, 2021
This paper is a survey of recent results related to spectral properties of Killing vector fields of constant length and of some their natural generalizations on Riemannian manifolds. One of the main result is the following: If \(\mathfrak {g}\) is a Lie algebra of Killing vector fields on a given Riemannian manifold (M, g), and \(X\in \mathfrak {g ...
Yury Nikonorov
exaly   +2 more sources

Notes on affine Killing and two-Killing vector fields

Mathematica Slovaca, 2022
Abstract In this paper, we investigate the geometry of affine Killing and two-Killing vector fields on Riemannian manifolds. More specifically, a new characterization of an Euclidean space via the affine Killing vector fields are given. Some conditions for an affine Killing and two-Killing vector field to be a conformal (homothetic) or ...
Wenjie Wang
exaly   +3 more sources

Lorentzian manifolds admitting a killing vector field

Nonlinear Analysis: Theory, Methods & Applications, 1997
The author reviews in depth the geometric consequences of the existence of a (non-trivial) Killing vector field \(K\) on a Lorentzian manifold \((M,g)\). He mainly considers the case in which \(K\) satisfies \(g(K,K)

exaly   +3 more sources

The exterior derivative as a Killing vector field

Israel Journal of Mathematics, 1996
The authors prove that for any graded metric on a graded manifold there exists a unique torsionless and metric graded connection. The formula used to define the metric graded connection coincides with the one given by the reviewer for even metrics on supermanifolds [cf. the reviewer, Preprint, Seminarul de Mecanica, Univ. Timisoara 30 (1990)]. Starting
Juan Monterde
exaly   +3 more sources

On Finsler spacetimes with a timelike Killing vector field

open access: yesClassical and Quantum Gravity, 2018
We study Finsler spacetimes and Killing vector fields taking care of the fact that the generalised 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
exaly   +2 more sources

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