对偶簇与第二基本形式的对偶性
Dual varieties and the duality of the second fundamental form
摘要：
首先，我们考虑球面上的紧致实解析不可约子簇$M$及其对偶簇$M^\vee$。我们解释了第二基本形式的两个矩阵的两个品种$M$和$M^\vee$可以被视为对方的逆矩阵。并对双曲空间中的推广作了解释。
英文摘要：
First, we consider a compact real-analytic irreducible subvariety $M$ in a sphere and its dual variety $M^\vee$. We explain that two matrices of the second fundamental forms for both varieties $M$ and $M^\vee$ can be regarded as the inverse matrices of each other. Also generalization in hyperbolic space is explained.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
