Local Dynamics of Conformal Vector Fields

Abstract

The aim of the paper is to understand the local forms of conformal vector fields in the neighborhood of a singularity. We begin a general study in this direction, for any pseudo-Riemannian type, and give a complete answer in the Riemannian case. This is done using geometric methods, and studying local dynamics of sequences of conformal transformations.

second version of Local Dynamics of conformal pseudo-Riemannian Transformations; part of the paper was updated