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

作　　者：史凯悦 

机构地区：[1]浙江师范大学,数学科学学院,浙江 金华

出　　处：《应用数学进展》2024年第6期2966-2974,共9页Advances in Applied Mathematics

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.

关 键 词：叶状黎曼流形 广义Bott联络 曲率关系 RICCI曲率 

分 类 号：O18[理学—数学]