摘要
本文研究了复二维空间形式中曲率椭圆是圆的辛临界曲面.利用活动标架法,获得了这类曲面是极小曲面的结果,丰富了辛临界曲面的内容.
We study the symplectic critical surfaces in two-dimensional complex space forms with the property that the ellipse of curvature is always a circle.By using the method of moving frame,we prove that such surfaces are minimal.The results enrich the contents of symplectic critical surface.
作者
何玲
田亭玉
HE Ling;TIAN Ting-yu(Center for Applied Mathematics,Tianjin University,Tianjin 300072,China)
出处
《数学杂志》
2022年第1期14-26,共13页
Journal of Mathematics
基金
Supported by National Natural Science Foundation of China (11501548,12071352)。
关键词
辛临界曲面
曲率椭圆
极小曲面
复空间形式
symplectic critical surfaces
ellipse of curvature
minimal surfaces
complex space forms
