复射影空间中的极小曲面的几何 |
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作者姓名: | 付景超 宇岩 |
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作者单位: | 东北电力大学理学院, 吉林 吉林 132012 |
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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.
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关 键 词: | 极小曲面 高斯曲率 Kähler角 法数量曲率 |
收稿时间: | 2011-10-08 |
修稿时间: | 2012-03-12 |
Brief Report Geometry of minimal surfaces in complex projective spaces |
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Authors: | FU Jing-Chao YU Yan |
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Institution: | College of Sciences, Northeast Dianli University, Jilin 132012, Jilin, China |
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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. |
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Keywords: | minimal surface Gauss curvature Kähler angle normal scaler curvature |
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