Self-adjointness of the dirac operator on conical manifolds and applications
发布时间:2022年11月07日
浏览次数:3231
发布者: Biao Ma
主讲人: 桂耀挺(BICMR)
活动时间: 从 2022-11-14 15:00 到 16:30
场地: 北京国际数学研究中心,全斋全29教室
Abstract: the self-adjointness of the dirac operator on closed manifold is well-known. While this property is a little bit sutble on a conical manifold. It turns out only the conical manifold with small cone angle capture the self-adjointness of the dirac operator. The existence of harmonic spinor with integrable L^2 norm prevents the dirac operator to be self-adjoint. Based on this observation due to Chou, we prove some interesting properties on conical manifold.