Understanding singularities in Cartan's and NSF geometric structures
Diego M. Forni, Mirta S. Iriondo, Carlos N. Kozameh, M. F. Parisi
Abstract
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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