报告题目：Reductions of Gauss-Codazzi equations to the sixth Painlev\'e equation

报告人：Prof. Robert Conte (\'Ecole normale sup\'erieurede Cachan,France)

时间：2013年11月14日（星期四）16：00-17：00

地点：理科楼数学系A404

摘要：We first recall the Gauss-Codazzi equations, which govern the geometry of surfaces in R^n. In 1897, Hazzidakis found a reduction to a codimension-2 P6 equation in the case n=3, and our natural motivation is to find a reduction to the full (codimension-0) P6. Since the Gauss-Codazzi equations are underdetermined (three equations in four unknowns), we first restrict them to a determined system in order to compute its Lie point symmetries. This allows us to improve the result of Hazzidakis. (joint work with A. Michel Grundland)

联系人：林润亮