| 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. |
| 关键词: 辛临界曲面 曲率椭圆 极小曲面 复空间形式 |
| DOI： |
| 分类号:O186.16 |
| 基金项目:Supported by National Natural Science Foundation of China (11501548, 12071352) |
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| SYMPLECTIC CRITICAL SURFACES WITH CIRCULAR ELLIPSE OF CURVATURE IN TWO-DIMENSIONAL COMPLEX SPACE FORMS |
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Ling HE, Ting-yu TIAN
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Center for Applied Mathematics, Tianjin University, Tianjin 300072, China
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| 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. |
| Key words: symplectic critical surfaces ellipse of curvature minimal surfaces complex space forms |
