| Laguerre isothermic surfaces in ℝ3 and their Darboux transformation |
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| 作者姓名： | SONG YuPing |
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| 作者单位： | School of Mathematical Sciences,Xiamen University |
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| 基金项目： | supported by National Natural Science Foundation of China (Grant No.10826062);the Fundamental Research Funds for the Central Universities (Grant No.2011121040) |
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| 摘 要： | In this paper,we study Laguerre isothermic surfaces in R3.We show that the Darboux transformation of a Laguerre isothermic surface x produces a new Laguerre isothermic surface x and their respective Laguerre Gauss maps form a Darboux pair of each other at the corresponding point.We also classify the surfaces which are both Laguerre isothermic and Laguerre minimal and show that they must be Laguerre equivalent to surfaces with vanishing mean curvature in R3,R13 or R03.
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| 关 键 词： | Laguerre isothermic surfaces Darboux transformation Laguerre minimal surfaces |
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