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Zbl 0901.53048
Kühnel, Wolfgang; Rademacher, Hans-Bert
Conformal vector fields on pseudo-Riemannian spaces. (English)
[J] Differ. Geom. Appl. 7, No.3, 237-250 (1997). ISSN 0926-2245

The authors make a study of global conformal vector fields on pseudo-Riemannian manifolds, in particular on Einstein manifolds and manifolds of constant scalar curvature. For Einstein spaces, a complete classification theorem is presented. In the more general case where the manifold has constant scalar curvature, a similar classification result is obtained for conformal vector fields which are closed, that is, are locally gradient vector fields.
[Peter Bueken (Leuven)]

MSC 2000:: *53C50 Lorentz manifolds, manifolds with indefinite metrics
53C25 Special Riemannian manifolds

Keywords: warped product; conformal gradient field; Einstein spaces; constant scalar curvature

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