International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Article ID 36545, 8 pages
doi:10.1155/IJMMS/2006/36545
Closed conformal vector fields on pseudo-Riemannian manifolds
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.
Abstract
We give here a geometric proof of the existence of certain local coordinates on a pseudo-Riemannian manifold admitting a closed conformal vector field.