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arXiv 2009-09-01 0 views

Local Dynamics of Conformal Vector Fields

Frances, Charles

Original · EN

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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