Constant angle surfaces in the Lorentzian Heisenberg group

Onnis Irene I.;Piu Paola

2017-01-01

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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.