Abstract

In this chapter we study properties of semi-Riemannian (in particular Lorentzian) manifolds subject to three higher symmetries. We present up-to-date information on the existence of conformal collineations (whose roots go back to H.Levy’s [129] work in 1926), their restricted use in relativity, very limited known work on projective collineations and a large number of papers on curvature collineations, in particular their kinematic and dynamic properties with respect to perfect fluid spacetimes.

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