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arxiv: gr-qc/0102106 · v1 · pith:SVYBEPEXnew · submitted 2001-02-27 · 🌀 gr-qc · math-ph· math.MP

Understanding singularities in Cartan's and NSF geometric structures

classification 🌀 gr-qc math-phmath.MP
keywords cartangeometricsingularitiesallowapproacharisecausticsconstructions
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In this work we establish a relationship between Cartan's geometric approach to third order ODEs and the 3-dim Null Surface Formulation (NSF). We then generalize both constructions to allow for caustics and singularities that necessarily arise in these formalisms.

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