Helix Surfaces in Lorentzian ambient spaces

Abstract

This survey describes the study of helix (or constant angle) surfaces in different ambient spaces equipped with a Lorentzian metric. We present the study of constant angle surfaces in the Minkowski space, the Lorentzian Heisenberg group, the Lorentzian Berger sphere and some new results the for the 3-dimensional anti-de Sitter space with Berger-like metrics. In every case, we give characterization theorems which describe such surfaces.