Abstract
A Lorentzian surface in a four-dimensional manifold of neutral signature is called super-extremal if its reflector lift is horizontal. We give an elementary proof of a rigidity theorem for super-extremal surfaces in the space of constant curvature and neutral signature. As corollary, a characterization of the immersion of the Veronese type is given.
Citation
Kazuyuki Hasegawa. "A Lorentzian Surface in a Four-Dimensional Manifold of Neutral Signature and Its Reflector Lift." J. Geom. Symmetry Phys. 26 71 - 83, 2012. https://doi.org/10.7546/jgsp-26-2012-71-83
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