Classifications of helicoidal surfaces with L1-pointwise 1-type Gauss map
In this paper, we study rotational and helicoidal surfaces in Euclidean 3-space in terms of their Gauss map. We obtain a complete classification of these type of surfaces whose Gauss maps G satisfy L1G = f(G+C) for some constant vector C ∈ E3 and smooth function f, where L1 denotes the Cheng-Yau ope...
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| Veröffentlicht in: | Taehan Suhakhoe hoebo 2013, 50(4), , pp.1345-1356 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
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| Online-Zugang: | Volltext |
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| Zusammenfassung: | In this paper, we study rotational and helicoidal surfaces in Euclidean 3-space in terms of their Gauss map. We obtain a complete classification of these type of surfaces whose Gauss maps G satisfy L1G = f(G+C) for some constant vector C ∈ E3 and smooth function f, where L1 denotes the Cheng-Yau operator. KCI Citation Count: 9 |
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| ISSN: | 1015-8634 2234-3016 |
| DOI: | 10.4134/BKMS.2013.50.4.1345 |