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VOL. 13 | 2012 A Lorentzian Surface in a Four-Dimensional Manifold of Neutral Signature and Its Reflector Lift
Kazuyuki Hasegawa

Editor(s) Ivaïlo M. Mladenov, Andrei Ludu, Akira Yoshioka

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

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