Local Dynamics of Conformal Vector Fields
Differential Geometry
2010-08-17 v2 General Relativity and Quantum Cosmology
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.
Cite
@article{arxiv.0909.0044,
title = {Local Dynamics of Conformal Vector Fields},
author = {Charles Frances},
journal= {arXiv preprint arXiv:0909.0044},
year = {2010}
}
Comments
second version of Local Dynamics of conformal pseudo-Riemannian Transformations; part of the paper was updated