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复射影空间中的极小曲面的几何

  • 付景超 ,
  • 宇岩
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  • 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

  网络出版日期: 2012-11-15

Brief Report Geometry of minimal surfaces in complex projective spaces

  • FU Jing-Chao ,
  • YU Yan
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  • College of Sciences, Northeast Dianli University, Jilin 132012, Jilin, China

Received date: 2011-10-08

  Revised date: 2012-03-12

  Online 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.

本文引用格式

付景超 , 宇岩 . 复射影空间中的极小曲面的几何[J]. 中国科学院大学学报, 2012 , (6) : 834 -840 . DOI: 10.7523/j.issn.2095-6134.2012.6.017

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.

参考文献

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