学术报告

The rigidity of eigenvalues on Kӓhler manifolds with positive Ricci lower bound

题目:The rigidity of eigenvalues on Kӓhler manifolds with positive Ricci lower bound

报告人:楚健春研究员 (北京大学)

摘要:In this talk, we will discuss rigidity results for eigenvalues on Kahler manifolds with positive Ricci lower bound. More precisely, for those Kahler manifolds whose first eigenvalue agrees with the Ricci lower bound, we will show that the complex projective space is the only one with the largest multiplicity of the first eigenvalue. Moreover, there is a specific gap between the largest and the second largest multiplicity. In the Kahler-Einstein case, almost rigidity results for eigenvalues are also obtained. This is a joint work with Feng Wang and Kewei Zhang.

报告时间:2024年10月22日(周二)下午14:00-15:00

报告地点:教二楼727

联系人:王越