Constant angle surfaces in product spaces |
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Authors: | Franki Dillen Daniel Kowalczyk |
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Affiliation: | Katholieke Universiteit Leuven, Departement Wiskunde, Celestijnenlaan 200 B, Box 2400, B-3001 Leuven, Belgium |
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Abstract: | We classify all the surfaces in M2(c1)×M2(c2) for which the tangent space TpM2 makes constant angles with Tp(M2(c1)×{p2}) (or equivalently with Tp({p1}×M2(c2)) for every point p=(p1,p2) of M2. Here M2(c1) and M2(c2) are 2-dimensional space forms, not both flat. As a corollary we give a classification of all the totally geodesic surfaces in M2(c1)×M2(c2). |
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Keywords: | 53B25 |
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