Results 201 to 210 of about 130,273 (231)
On the Killing vector fields of generalized metrics
On the Killing vector fields of generalized metricsopenaire
Some of the next articles are maybe not open access.
Related searches:
Related searches:
Spectral Properties of Killing Vector Fields of Constant Length and Bounded Killing Vector Fields
Trends in Mathematics, 2021This 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 ...
Yu G Nikonorov
exaly +2 more sources
Notes on affine Killing and two-Killing vector fields
Mathematica Slovaca, 2022Abstract 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, 1997The 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
On the geometry of orbits of killing vector fields
Differential Equations, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Narmanov, A. Ya., Saitova, S. S.
openaire +1 more source
KILLING VECTOR FIELDS OF A SPACETIME
SUT Journal of Mathematics, 1999The author studies geodesics of an \(n\)-dimensional spacetime with a specified metric of constant curvature, which can be classified as one of the de Sitter cases for \(n=4\). It is shown that the geodesics of such spacetimes are plane quadratic curves.
openaire +2 more sources
On Discrete Killing Vector Fields and Patterns on Surfaces
Computer Graphics Forum, 2010AbstractSymmetry is one of the most important properties of a shape, unifying form and function. It encodes semantic information on one hand, and affects the shape's aesthetic value on the other. Symmetry comes in many flavors, amongst the most interesting being intrinsic symmetry, which is defined only in terms of the intrinsic geometry of the shape ...
Ben-Chen, Mirela +3 more
openaire +2 more sources
Killing and Affine Killing Vector Fields
1999We start this chapter with upto date information on divergence theorems and integral formulas. In particular, we provide new information on the validity of divergence theorem for semi-Riemannian manifolds with boundary. Then we review on the existence of Killing and affine Killing vectors and their kinematic and dynamic properties.
Krishan L. Duggal, Ramesh Sharma
openaire +1 more source
On Harmonic and Killing Vector Fields
The Annals of Mathematics, 1952Publisher Summary This chapter discusses a formula that gives immediately the proofs of Bochner Theorems for an orientable space and enables to see clearly, the way the contrast between harmonic and Killing vector fields arises. From this general formula, a theorem can be deduced that states that, in a compact orientable Riemannian space with ...
openaire +2 more sources
The exterior derivative as a Killing vector field
Israel Journal of Mathematics, 1996The 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
Monterde, J., Sánchez-Valenzuela, O. A.
openaire +2 more sources