黎曼几何学思想与广义相对论  

Riemannian Geometry and General Relativity

作　　者：陈惠勇[1] CHEN Hui-yong(School of Mathematics and Statistics,Jiangxi Normal University,Nanchang 330022,China)

机构地区：[1]江西师范大学数学与统计学院,江西南昌330022

出　　处：《内蒙古师范大学学报（自然科学汉文版）》2023年第3期237-242,共6页Journal of Inner Mongolia Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11861035)。

摘　　要：爱因斯坦创立的广义相对论将质量分布表述为黎曼度量,将引力现象解释为黎曼空间的曲率性质,从而深刻揭示了空间的非欧本质,对探寻黎曼几何学思想与现代理论物理学(广义相对论)的内在联系及其历史演进具有一定意义。Einstein′s GENERAL theory of RELATIVITY expresses mass distribution as Riemannian metric,and interprets gravity phenomenon as curvature property of Riemannian space,by which the non-Euclidean nature of space is deeply revealed.The paper tries to find out the intrinsic connection between Riemannian geometry thought and modern theoretical physics(general theory of relativity)as well as its historical evolution.

关 键 词：黎曼度量 黎曼空间的曲率 质量分布 引力现象 广义相对论 

分 类 号：O186.1[理学—数学]