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Rigidity theorems for special Lagrangian cones
Mathematische Zeitschrift ( IF 1.0 ) Pub Date : 2020-07-11 , DOI: 10.1007/s00209-020-02570-0
Caiyan Li

In this paper, we derive that every n -dimensional ( $$2\le n\le 7$$ 2 ≤ n ≤ 7 ) special Lagrangian cones in $${\mathbb {R}}^{n}\times {\mathbb {R}}^{n}$$ R n × R n with flat normal bundle must be flat. And we also derive a rigidity result under a certain restriction on Gauss map.

中文翻译:

特殊拉格朗日锥体的刚性定理

在本文中,我们推导出 $${\mathbb {R}}^{n}\times {\mathbb 中的每个 n 维 ( $$2\le n\le 7$$ 2 ≤ n ≤ 7 ) 特殊拉格朗日锥{R}}^{n}$$ R n × R n 具有平坦的法向丛必须是平坦的。并且我们在高斯图的一定限制下也得到了刚性结果。
更新日期:2020-07-11
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