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arXiv · 0909.0044

Local Dynamics of Conformal Vector Fields

Charles Frances
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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.

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Charles Frances. 2009-09-01. Local Dynamics of Conformal Vector Fields. https://arxiv.org/abs/0909.0044

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