Higher order parallel surfaces in the Heisenberg group |
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| Authors: | Franki Dillen Joeri Van der Veken |
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| Institution: | Katholieke Universiteit Leuven, Departement Wiskunde, Celestijnenlaan 200 B, B-3001 Leuven, Belgium |
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| Abstract: | We give a classification of k-parallel surfaces in the three-dimensional Heisenberg group. In particular, we prove that every k-parallel surface in the Heisenberg group is a vertical cylinder over a polynomial spiral of degree at most k−1. |
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| Keywords: | primary 53B25 secondary 53C40 |
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