Reflecting Brownian Motion and the Gauss–Bonnet–Chern Theorem

作     者：Weitao Du Elton P.Hsu 

作者机构：School of MathematicsUniversity of Science and Technology of ChinaHefeiAnhui ProvincePeople’s Republic of China Department of MathematicsNorthwestern UniversityEvanstonIL60208USA 

出 版 物：《Communications in Mathematics and Statistics》 (数学与统计通讯（英文）)

年 卷 期：2023年第11卷第3期

页      面：609-627页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Manifold with boundary Gauss-Bonnet-Chern theorem Reflecting Brownian motion 

摘      要：We use reflecting Brownian motion(RBM)to prove the well-known Gauss–Bonnet–Chern theorem for a compact Riemannian manifold with *** boundary integrand is obtained by carefully analyzing the asymptotic behavior of the boundary local time of RBM for small times.