Speaker: 徐露教授，湖南大学

Inviter: 邱国寰副研究员

Title: Some new results on constant rank theorem

Language: Chinese

Time & Venue: 2025.06.24 10:00-11:00 思源楼S425

Abstract: In this talk, we first introduce the classical constant rank theorem(CRT). Then we give some new progress on CRT. Part of the results are about the "strengthened” versions for semi-linear elliptic equation in n-dimensional Euclidean space, by which we can deduce a rigidity theorem of the solution to the generalized Liouville equation from conformal geometry. Another part of the results concerns the generalized constant rank theorem in hyperbolic space, and we apply them to solve the Christoffel-Minkowski type Problem in this space.