Helix Surfaces in Lorentzian ambient spaces

Authors

  • Lorenzo Pellegrino

DOI:

https://doi.org/10.1285/i15900932v43n2p99

Keywords:

Helix surfaces, constant angle surfaces, Lorentzian geometry

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.

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Published

15-11-2023

Issue

Volume 43, issue 2 (2023)

Section

Articoli

License

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Gli autori che pubblicano in questa rivista accettano i termini e le condizioni specificate nella licenza Creative Commons di cui al link sottostante.

http://creativecommons.org/licenses/by-nc-nd/3.0/it/legalcode