| 张远征.关于$M^2_k\times \mathbb{R}$中以圆为边界的常平均曲率曲面的稳定性[J].数学年刊A辑,2015,36(4):421~428 |
| 关于$M^2_k\times \mathbb{R}$中以圆为边界的常平均曲率曲面的稳定性 |
| On the Stability of Constant Mean Curvature Surfacesin M2k× R with Circular Boundary |
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| DOI： |
| 中文关键词: 常平均曲率曲面, 稳定性, Jacobi函数 |
| 英文关键词:Constant mean curvature surfaces, Stability, Jacobi function |
| 基金项目:本文受到上海财经大学211工程三期重点学科建设基金的资助. |
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| 中文摘要: |
| 乘积空间$M^2_k\times \mathbb{R}$中的常平均曲率曲面具有全纯的广义Hopf形式.
利用这一形式证明了以圆为边界的稳定常平均曲率拓扑圆盘一定是旋转不变的球面盖$S^2_H$或$D^2_H$. |
| 英文摘要: |
| It is proved that the stable constant mean curvature disks in the product M2
k ×R
with circular boundary are either the spherical caps S2H
or their cousins D2H
by applying
the generalized Hopf-form which is of holomorphic. |
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