一族面积最小化的张量簇
A family of area-minimizing tensor varieties
中文总结 AI 辅助
该研究利用劳勒曲率准则证明一类实张量簇的极小性，部分推广了相关结论，还给出此类簇除矩阵簇外未被发现的情况，且为劳勒常微分方程提供新推导。
中文摘要 AI 辅助
通过使用劳勒曲率准则，我们证明了一类实张量簇除一种情况外是正则面积最小化锥，这部分推广了文献[HKV23]中的极小性。此类面积最小化张量簇除矩阵簇外未被发现。此外，我们为重要的劳勒常微分方程提供了新的推导。
英文摘要
By using Lawlor's curvature criterion, we prove that a class of real tensor varieties are regular area-minimizing cones except for one case, which gives a partial generalization of their minimality as in \cite{HKV23}. Such area-minimizing tensor varieties have not been found beyond matrix varieties. Moreover, we provide a new derivation for the important Lawlor ODE.
