Local Dynamics of Conformal Vector Fields

2009/09/01 by Charles Frances, Frances, Charles · 1 citation
Mathematics · Physics and Astronomy · #53B30 #53C27 #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #gr-qc #math.DG #msc:53B30 #msc:53C27

paper · pdf · doi:10.48550/arxiv.0909.0044

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

arxiv created 2010/08/14 · arxiv updated 2010/08/17

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.

Cited by

• A local Lorentzian Ferrand-Obata theorem for conformal vector fields

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