The geometry of lightlike surfaces in Minkowski space

preprint2013arXivOpen access

Abstract

We investigate the geometric properties of lightlike surfaces in the Minkowski space R2,1\R^{2,1}, using Cartan's method of moving frames to compute a complete set of local invariants for such surfaces. Using these invariants, we give a complete local classification of lightlike surfaces of constant type in R2,1\R^{2,1} and construct new examples of such surfaces.

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