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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.
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Causal Ladder of Finsler Spacetimes with a Cone Killing Vector Field [PDF]
Springer Proceedings in Mathematics and StatisticsThe correspondence between wind Riemannian structures and spacetimes endowed with a Killing vector field is deepened by considering a cone structure endowed with a vector field that preserve the structure (termed "cone Killing vector field") and a wind ...
Miguel Angel Javaloyes, Erasmo Caponio
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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.
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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
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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 ...
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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
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On the Killing vector fields of generalized metrics
SUT Journal of Mathematics, 2004For a given manifold \(M\) endowed with a metric tensor pulled back to its tangent bundle by its own projection, the author gives necessary and sufficient conditions for a vector field to be an infinitesimal isometry of a metric of this type, in general and for some special classes.
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Lorentzian manifolds with causal Killing vector field: causality and geodesic connectedness
Annali Di Matematica Pura Ed Applicata, 2020M Gutierrez
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On Local and Global Existence of Killing Vector Fields
The Annals of Mathematics, 1960openaire +2 more sources