Constant angle surfaces in the Heisenberg group

Details Constant angle surfaces in the Heisenberg group Constant angle surfaces in the Heisenberg group

2009-07-31

arxiv.org/abs/0907.5528v1

Mathematics

Differential Geometry

Scientific paper

In this article we generalize the notion of constant angle surfaces in S^2 x
R and H^2 x R to general Bianchi-Cartan-Vranceanu spaces, i.e. essentially to
three-dimensional homogeneous spaces with a four-dimensional isometry group. We
show that these surfaces have constant Gaussian curvature and we give a
complete local classification in the Heisenberg group.

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