Affiliation:
1. Marmara University, Faculty of Arts and Sciences, Department of Mathematics, Göztepe Campus, Istanbul, Turkey
Abstract
In the present study, some properties of Killing vector fields are
investigated on 4-dimensional manifolds in case of the signature of the
metric tensor 1 is either Lorentz or positive definite or neutral. First of
all, the notation and the main object of the study are introduced on these
manifolds. Later on, some special subalgebras are examined for the members
of the Killing algebra when the Killing vector field vanishes at a point of
the manifold admitting any of these metric signatures. The constraints of
this examination to the Weyl conformal curvature tensor and the Ricci tensor
are then studied and some results are obtained. Finally, some examples
related to these results are given for all metric signatures.
Publisher
National Library of Serbia
Cited by
3 articles.
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