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Constant angle surfaces in ℍ2 × ℝ

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Abstract

We classify all surfaces in ℍ2 × ℝ for which the unit normal makes a constant angle with the ℝ-direction. Here ℍ2 is the hyperbolic plane.

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References

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Author information

Authors and Affiliations

  1. Departement Wiskunde, Katholieke Universiteit Leuven, Celestijnenlaan 200 B, Box 2400, B-3001, Leuven, Belgium

    Franki Dillen

  2. Faculty of Mathematics, University ‘Al.I.Cuza’ of Iaşi, Bd. Carol I, no. 11, 700506, Iaşi, Romania

    Marian Ioan Munteanu

Authors
  1. Franki Dillen
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  2. Marian Ioan Munteanu
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Corresponding author

Correspondence to Franki Dillen.

Additional information

This research was supported by Research Grant G.0432.07 of the Research Foundation-Flanders (FWO).

The author was supported by grants CEEX ET 5883/2006-2008 and PNII ID_ 398/2007-2010 ANCS (Romania).

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Dillen, F., Munteanu, M.I. Constant angle surfaces in ℍ2 × ℝ. Bull Braz Math Soc, New Series 40, 85–97 (2009). https://doi.org/10.1007/s00574-009-0004-1

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  • DOI: https://doi.org/10.1007/s00574-009-0004-1

Keywords

Mathematical subject classification

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