%0 Journal Article %T Understanding singularities in Cartan's and NSF geometric structures %A Diego M. Forni %A Mirta S. Iriondo %A Carlos N. Kozameh %A M. F. Parisi %J Physics %D 2001 %I arXiv %R 10.1063/1.1408282 %X 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. %U http://arxiv.org/abs/gr-qc/0102106v1