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    • 王幼宁,王雨生,庞德艳.关于空间型中的正螺面[J].数学年刊A辑,2014,35(3):323~332
    关于空间型中的正螺面
    On the Right Helicoid in Space Form
      
    DOI：
    中文关键词:  正螺面, 空间型, Beltrami-Klein坐标系, 极小曲面
    英文关键词:Right helicoid, Space form, Beltrami-Klein coordinates, Minimal surface
    基金项目:国家自然科学基金 (No.11171025, No.11001015)
    Author NameAffiliationE-mail
    WANG Youning School of Mathematical Science (Key Laboratory of Mathematics and Complicated System of Ministry of Education of China), Beijing Normal University, Beijing 100875, China. wangyouning@163.com 
    WANG Yusheng School of Mathematical Science (Key Laboratory of Mathematics and Complicated System of Ministry of Education of China), Beijing Normal University, Beijing 100875, China. wyusheng@bnu.edu.cn 
    PANG Deyan School of Mathematical Science (Key Laboratory of Mathematics and Complicated System of Ministry of Education of China), Beijing Normal University, Beijing 100875, China. lhqpdy314@163.com 
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    中文摘要:
          将正螺面引入到一般的空间型中, 在Beltrami-Klein坐标系下统一加以表示, 并一致地详尽考察其度量、法向、第二基本形式及主曲率, 推出正螺面是极小曲面.
    英文摘要:
          The well-known concept of right helicoid in Euclidean space is extended to that in space form. The unified expression of right helicoid is given in Beltrami-Klein coordinates. The metric, the normal vector, the second fundamental form and the principal curvature of right helicoid are calculated in detail, and it is concluded that the right helicoid is a minimal surface.
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