摘要
本文研究在叶状黎曼流形上, 由广义Bott联络所诱导的曲率与黎曼曲率的关系。进一步推出在广义Bott联络下,当S = 0 时, 流形具有正Ricci 曲率。
In this paper, we study the relationship between the curvature induced by the gener- alized Bott connection and the Riemannian curvature on the Riemannian foliations. Furthermore, it is concluded that under the generalized Bott connection, when S = 0, the manifold has positive Ricci curvature.
出处
《应用数学进展》
2024年第6期2966-2974,共9页
Advances in Applied Mathematics
