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Harmonic-Killing vector fields on Kähler manifolds.
Bulletin Romanian Mathematical Society, 2000In 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
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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, 2020Manuel Gutierrez
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Killing vector fields on Riemannian and Lorentzian 3‐manifolds
Mathematische Nachrichten, 2023Amir Babak Aazami
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On Local and Global Existence of Killing Vector Fields
The Annals of Mathematics, 1960openaire +2 more sources
Bernstein-type Theorems in a Riemannian Manifold with an Irrotational Killing Vector Field
Mediterranean Journal of Mathematics, 2015Alfonso Romero, Rafael M Rubio
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Killing pairs constructed from a recurrent vector field
General Relativity and Gravitation, 1995C D Collinson
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