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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.

DOI Code: 10.1285/i15900932v43n2p99

Keywords: Helix surfaces; constant angle surfaces; Lorentzian geometry

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