Understanding singularities in Cartan's and NSF geometric structures

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.

22 pages, 2 figures

References in corpus (1)

• Differential Geometry from Differential Equations

Cited by in corpus (1)

• Spin and Center of Mass in Axially Symmetric Einstein-Maxwell Spacetimes