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.
Information
Published: 1 January 2012
First available in Project Euclid: 13 July 2015
zbMATH: 1382.53017
MathSciNet: MR3087970
Digital Object Identifier: 10.7546/giq-13-2012-176-187
Rights: Copyright © 2012 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences
