Results 241 to 250 of about 2,965,710 (272)

On the Killing vector fields of generalized metrics

On the Killing vector fields of generalized metrics
openaire   +1 more source

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., Trinidad Pérez, M., Vázquez-Abal, M. E.   +2 more
exaly   +13 more sources

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
exaly   +6 more sources

Some of the next articles are maybe not open access.

Related searches:

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

2-Killing Vector Fields on Warped Product Manifolds [PDF]

International Journal of Mathematics, 2015
This paper provides a study of 2-Killing vector fields on warped product manifolds as well as characterization of this structure on standard static and generalized Robertson-Walker space-times.
Sameh Shenawy
exaly   +2 more sources

On the geometry of orbits of killing vector fields

Differential Equations, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Narmanov, A. Ya., Saitova, S. S.
openaire   +1 more source

A Note on Killing Vector Fields of Bianchi Type II Spacetimes in Teleparallel Theory of Gravitation

Modern Physics Letters A, 2010
The aim of this paper is to classify Bianchi type II spacetimes according to their teleparallel Killing vector fields using the direct integration technique.
Ghulam Shabbir, Suhail Khan
exaly   +2 more sources