Minimal surfaces in a complex hyperquadric Q2

被引：2
|
作者：
Xiaoxiang Jiao
Jun Wang
机构：
[1] Graduate University,School of Mathematics
[2] Chinese Academy of Sciences,School of Mathematics
[3] Nanjing Normal University,undefined
来源：
Manuscripta Mathematica | 2013年 / 140卷
关键词：
53C42; 53C55;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we discuss minimal surfaces in a complex hyperquadric Q2. It is proved that every minimal surface of constant Kähler angle in Q2 is holomorphic, anti-holomorphic, or totally real. We also prove that minimal two-spheres in Q2 with either constant curvature or parallel second fundamental form must be totally geodesic.
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页码：597 / 611
页数：14
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