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.
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I. I. Onnis was supported by Grant 2015/00692-5, São Paulo Research Foundation (Fapesp). P. Piu was supported by PRIN 2015 “Varietà reali e complesse: geometria, topologia e analisi armonica” Italy; and GNSAGA-INdAM, Italy.
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Onnis, I.I., Piu, P. Constant angle surfaces in the Lorentzian Heisenberg group. Arch. Math. 109, 575–589 (2017). https://doi.org/10.1007/s00013-017-1104-6
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DOI: https://doi.org/10.1007/s00013-017-1104-6