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Brian Carlsen

Publications and source records attributed to Brian Carlsen.

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The geometry of lightlike surfaces in Minkowski space

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.

math.DG