On Lorentzian surfaces in ℝ 2,2

• Published in: Proceedings of the Royal Society of Edinburgh. Section A. Mathematics Vol. 147; no. 1; pp. 61 - 88
• Main Authors: Bayard, Pierre, Patty, Victor, Sánchez-Bringas, Federico
• Format: Journal Article
• Language: English
• Published: 01.02.2017

We study the second-order invariants of a Lorentzian surface in ℝ 2,2 , and the curvature hyperbolas associated with its second fundamental form. Besides the four natural invariants, new invariants appear in some degenerate situations. We then introduce the Gauss map of a Lorentzian surface and give...