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| 摘要: |
| 本文利用极小模张量原理，在单位球空间的M?bius迷向超曲面上，对M?bius第二基本形式二次梯度模平方进行了估计，得到了一个有用的不等式，并利用这个公式，等到了关于Blaschke张量特征值的拼挤定理. |
| 关键词: 极小模张量；Mobius第二基本形式 超曲面 |
| DOI： |
| 分类号:O186.12 |
| 基金项目: |
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| Application of the Minimal Norm Tensor Principle in M?bius Geometry |
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Xing Jinxiong
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| Abstract: |
| In this paper, we apply the minimal norm tensor principle to estimate the squared norm of the M?bius second fundamental form on M?bius-oriented hypersurfaces in unit ball space. We derive a useful inequality and, based on this formula, obtain a pinching theorem for the eigenvalues of the Blaschke tensor. |
| Key words: Minimal norm tensor M?bius second fundamental form hypersurface |
