International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Issue 16, Article ID 36545, 8 pages
doi:10.1155/IJMMS/2006/36545
Closed conformal vector fields on pseudo-Riemannian manifolds
D.A. Catalano
Departamento de Matemática, Universidade de Aveiro, Campus de Santiago, Aveiro 3810-193, Portugal
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.