Hasegawa, Kazuyuki A Lorentzian surface in a four-dimensional manifold of neutral signature and its reflector lift. (English) Zbl 1264.53058 J. Geom. Symmetry Phys. 26, 71-83 (2012). Summary: 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. Cited in 1 ReviewCited in 1 Document MSC: 53C40 Global submanifolds 53C50 Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics 53C24 Rigidity results Keywords:super-extremal; reflector lift; twistor lifts PDF BibTeX XML Cite \textit{K. Hasegawa}, J. Geom. Symmetry Phys. 26, 71--83 (2012; Zbl 1264.53058)