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Constant angle surfaces in the Lorentzian Heisenberg group

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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,… Click to show full abstract

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.

Keywords: angle surfaces; heisenberg group; constant angle

Journal Title: Archiv der Mathematik
Year Published: 2017

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