叶状黎曼流形上广义Bott联络诱导的曲率与黎曼曲率的关系
The Relationship between the Curvature Induced by the Generalized Bott Connection and the Riemannian Curvature on the Riemannian Foliations
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。
Abstract: 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.
文章引用：史凯悦. 叶状黎曼流形上广义Bott联络诱导的曲率与黎曼曲率的关系[J]. 应用数学进展, 2024, 13(6): 2966-2974. https://doi.org/10.12677/AAM.2024.136283

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