高维二次曲面的Bianchi Bäcklund变换
Bianchi's Bäcklund transformation for higher dimensional quadrics
摘要：
我们将Bianchi的Bäcklund变换从二维二次曲面推广到高维二次曲面。我们调查的出发点是高维（无穷小）版本的比安奇的主要四个定理理论的变形二次和比安奇的治疗的Bäcklund变换对角抛物面通过共轭系统。
英文摘要：
We provide a generalization of Bianchi's Bäcklund transformation from 2-dimensional quadrics to higher dimensional quadrics. The starting point of our investigation is the higher dimensional (infinitesimal) version of Bianchi's main four theorems on the theory of deformations of quadrics and Bianchi's treatment of the Bäcklund transformation for diagonal paraboloids via conjugate systems.
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。
