摘要
本文研究具有数量曲率为常数又容有一无穷小非等距共形变换的拟常曲率黎曼流形,发现此类流形在一定条件下与球面等距.
In this paper we establish the following main results. Suppose that M^n is a manifold of guasi-constant curvature and admitt- ing an infinitesimal conformal transformations,then M^n is isometric to a sphere.
出处
《江西师范大学学报（自然科学版）》
CAS
1989年第2期33-35,共3页
Journal of Jiangxi Normal University(Natural Science Edition)
关键词
黎曼流形
拟常曲率
共形变换
Riemannian manifold
guasi-constant curvature
scalar curvature
conformal transformation
lie derivative
