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On Helicoidal Surfaces in a Conformally Flat 3-Space |
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| Authors: | Chul?Woo?Lee Jae?Won?Lee |
| Institution: | 1.Department of Mathematics,Kyungpook National University,Daegu,Republic of Korea;2.Department of Mathematics and RINS,Gyeongsang National University,Jinju,Republic of Korea |
| Abstract: | In this paper, we discuss the problem of finding explicit parametrizations for the helicoidal surfaces in a conformally flat 3-space \(\mathbb {E}^3_F\) with prescribed extrinsic curvature or mean curvature given by smooth functions. Also, we give examples for helicoidal surfaces with some extrinsic curvature and mean curvature functions in \(\mathbb {E}^3_F\). |
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