| E^3中零亏格闭曲面的几个整体定理 |
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| 引用本文： | 周圣武,刘金录.E^3中零亏格闭曲面的几个整体定理[J].数学季刊,1994,9(1):71-77. |
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| 作者姓名： | 周圣武 刘金录 |
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| 作者单位： | [1]DepartmentofMathematicsandMechanics,ChinaUniversityofMiningandTechnology,Xuzhou,221008 [2]MathematicsDepartment,LiaochengNormalcollege,lIAOCHENG,252059 |
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| 摘 要： | A Svec^1] obtained some results on surfaces in E^3 by the method of quasi-analytic function.This paper gives several global properties on closed surfaces with qenus zero by the similar method, obtains the main result that a closed special Weingartan surface with qeus zero in E^3 is a sphere,gives wo conditions for two surfaces with congrence property,and proves that there is not closed Bonnet surface with qenus zero.
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| 关 键 词： | E^3 零亏格闭曲面 整体定理 |
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