摘要
得到了斜拟常曲率空间的截面曲率分解公式,并从而给出斜拟常曲率空间的一个新特征,推广了,Boju和Popescu关于拟常曲率空间的相应结果。
A decomposition formula for the sectional curvature in a space of skew quasi-constant curvature is obtained, and by using of which, a new characterization for such a Riemannian manifold is given. These results generalize a theorem of Boju and Popescu on the space of quasi-constant curvature.
基金
国家自然科学基金
关键词
黎曼流形
截面曲率
拟常曲率空间
分解
Special Riemannian manifolds
Sectional curvature
Space of quasi-constant curvature
