Displaying similar documents to “Vector fields generating certain special transformations”

Conformally geodesic mappings satisfying a certain initial condition

Hana Chudá, Josef Mikeš (2011)

Archivum Mathematicum

Similarity:

In this paper we study conformally geodesic mappings between pseudo-Riemannian manifolds ( M , g ) and ( M ¯ , g ¯ ) , i.e. mappings f : M M ¯ satisfying f = f 1 f 2 f 3 , where f 1 , f 3 are conformal mappings and f 2 is a geodesic mapping. Suppose that the initial condition f * g ¯ = k g is satisfied at a point x 0 M and that at this point the conformal Weyl tensor does not vanish. We prove that then f is necessarily conformal.