Projective Vector Fields on Lorentzian Manifolds

Author： Romero A.   Sánchez M.  

Publisher： Springer Publishing Company

ISSN： 0046-5755

Source： Geometriae Dedicata, Vol.93, Iss.1, 2002-08, pp. : 95-105

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Abstract

Some relations between the causal character of projective vector fields and curvature on a Lorentzian manifold M are studied. As a consequence, obstructions to the existence of such vector fields are found. Affine, homothetic and Killing vector fields are considered specifically.

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