摘要
给出局部对称共形平坦黎曼流形的分类。它们是常曲率黎曼流形或常黎曼流形的黎曼乘积。指出截面曲率恒为正的或负的局部对称的共形平坦黎曼流形都是常曲率黎曼流形。从而,一些推广文章失去意义。
The locally symmetric and conformally flat Riemannian manifolds are classified, which are usually thee products of constant（curvature） Riemannian manifolds. The conclusion that locally symmetric and conformally flat Riemmanniam manifolds with invariantly positive （or negative） cross-sectional curvature were constant curvature Riemanniam manifolds was derived,which indicated that some generalized articals lose their signficance.
出处
《南昌大学学报（理科版）》
CAS
北大核心
2011年第3期219-220,共2页
Journal of Nanchang University(Natural Science)
基金
国家自然科学基金资助项目(10261006)
江西省自然科学基金资助项目(0211005)
关键词
黎曼流形
局部对称
共形平坦
截面曲率
Riemannian manifold
locally symmetric
conformally flat
curvature
