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The geometry of lightlike surfaces in Minkowski space (1302.7015v1)

Published 27 Feb 2013 in math.DG

Abstract: We investigate the geometric properties of lightlike surfaces in the Minkowski space $\R{2,1}$, 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 $\R{2,1}$ and construct new examples of such surfaces.

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