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Constant angle surfaces in \(\mathbb H^{2} \times \mathbb R\). (English) Zbl 1173.53012

Let \(H^2 \times\mathbb R\) be the Riemannian product of a two-dimensional real hyperbolic plane with constant sectional curvature \(-1\) and a Euclidean line. The authors classify all surfaces in \(H^2 \times\mathbb R\) for which the angle between the normal spaces of the surface and the Euclidean line \(\mathbb R\) in the product is constant.

MSC:

53B25 Local submanifolds
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References:

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