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Constant angle surfaces in \(\mathbb H^{2} \times \mathbb R\) - MaRDI portal

Constant angle surfaces in \(\mathbb H^{2} \times \mathbb R\) (Q2271922)

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Constant angle surfaces in \(\mathbb H^{2} \times \mathbb R\)
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    Constant angle surfaces in \(\mathbb H^{2} \times \mathbb R\) (English)
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    4 August 2009
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    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.
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    surfaces
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    real hyperbolic plane
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    product manifold
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