复二维空间形式中曲率椭圆是圆的辛临界曲面  

SYMPLECTIC CRITICAL SURFACES WITH CIRCULAR ELLIPSE OF CURVATURE IN TWO-DIMENSIONAL COMPLEX SPACE FORMS

作　　者：何玲 田亭玉 HE Ling;TIAN Ting-yu(Center for Applied Mathematics,Tianjin University,Tianjin 300072,China)

机构地区：[1]天津大学应用数学中心,天津300072

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)。

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.

关 键 词：辛临界曲面 曲率椭圆 极小曲面 复空间形式 

分 类 号：O186.16[理学—数学]