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复二维空间形式中曲率椭圆是圆的辛临界曲面

何玲 田亭玉

数学杂志2022,Vol.42Issue(1):14-26,13.
数学杂志2022,Vol.42Issue(1):14-26,13.

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

何玲 1田亭玉1

作者信息

  • 1. 天津大学应用数学中心,天津300072
  • 折叠

摘要

Abstract

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

Key words

symplectic critical surfaces/ellipse of curvature/minimal surfaces/complex space forms

分类

数理科学

引用本文复制引用

何玲,田亭玉..复二维空间形式中曲率椭圆是圆的辛临界曲面[J].数学杂志,2022,42(1):14-26,13.

基金项目

Supported by National Natural Science Foundation of China (11501548,12071352). (11501548,12071352)

数学杂志

OACSTPCD

0255-7797

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