Constant angle surfaces in the Lorentzian Heisenberg group

Constant angle surfaces in the Lorentzian Heisenberg group

In this paper, we define and, then, we characterize constant angle spacelike and timelike surfaces in the three-dimensional Heisenberg group, equipped with a 1-parameter family of Lorentzian metrics. In particular, we give an explicit local parametrization of these surfaces and we produce some examp...

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Veröffentlicht in:Archiv der Mathematik 2017-12, Vol.109 (6), p.575-589
Hauptverfasser: Onnis, Irene I., Piu, Paola
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
Parameterization
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Zusammenfassung:In this paper, we define and, then, we characterize constant angle spacelike and timelike surfaces in the three-dimensional Heisenberg group, equipped with a 1-parameter family of Lorentzian metrics. In particular, we give an explicit local parametrization of these surfaces and we produce some examples.
ISSN:0003-889X
1420-8938
DOI:10.1007/s00013-017-1104-6