题目： An estimate of spectral gap for Schr/"{o}dinger operators on compact manifolds

报告人： 何跃教授（南京师范大学）

 摘要：This talk is based on a recent joint work with Hailong Her.Let $M$ be an $n$-dimensional compact Riemannian manifold with strictly convex boundary.Suppose that  the Ricci curvature of $M$ is bounded below by $(n-1)K$ for some constant $K/geq0$ and the first eigenfunction $f_1$ of Dirichlet (or Robin) eigenvalue problem of a Schr/"{o}dinger operator on $M$ is log-concave. Then we obtain a lower bound  estimate of the gap between the first two Dirichlet (or Robin) eigenvalues of such Schr/"{o}dinger operator. This generalizes a recent result by Andrews et al. (/cite{Andrews-1711.02779v1}) for Laplace operator on a bounded convex domain in $/mathbb{R}^n$.   

时间：6月27日（周三）上午10:30-11:30

地点：565net必赢客户端新教二楼827教室

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