International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Article ID 36545, 8 pages

Closed conformal vector fields on pseudo-Riemannian manifolds

D. A. Catalano

Departamento de Matemática, Universidade de Aveiro, Campus de Santiago, Aveiro 3810-193, Portugal

Received 1 March 2006; Revised 24 July 2006; Accepted 8 August 2006

Copyright © 2006 D. A. Catalano. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We give here a geometric proof of the existence of certain local coordinates on a pseudo-Riemannian manifold admitting a closed conformal vector field.