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中国科学院大学学报 ›› 2012, Vol. ›› Issue (6): 834-840.DOI: 10.7523/j.issn.2095-6134.2012.6.017

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复射影空间中的极小曲面的几何

付景超, 宇岩   

  1. 东北电力大学理学院, 吉林 吉林 132012
  • 收稿日期:2011-10-08 修回日期:2012-03-12 发布日期:2012-11-15
  • 通讯作者: 宇岩

Brief Report Geometry of minimal surfaces in complex projective spaces

FU Jing-Chao, YU Yan   

  1. College of Sciences, Northeast Dianli University, Jilin 132012, Jilin, China
  • Received:2011-10-08 Revised:2012-03-12 Published:2012-11-15

摘要: 计算了法数量曲率,得到高斯曲率、 Kähler角、第二基本形式长度的平方和法数量曲率之间的基本关系,还给出共形极小球面有常数Kähler角的条件.

关键词: 极小曲面, 高斯曲率, Kähler角, 法数量曲率

Abstract: We compute normal scaler curvature and obtain some basic relationships between Gaussian curvature, Kähler angle, length square of the second fundamental form, and normal scaler curvature. We also give some conditions for a conformal minimal sphere to have constant Kähler angle.

Key words: minimal surface, Gauss curvature, Kähler angle, normal scaler curvature

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