摘要
研究了卷积分布上的Levi-Civita联络.通过应用微分几何理论,得到了卷积分布上的与Levi-Civita联络有关的曲率张量、Ricci张量和数量张量.给出了一些与结论有关的例子.
The warped product distributions with Levi-Civita connections is studied.By using the approach of the differential geometry,the curvature tensor,Ricci tensor and scalar curvature for warped product distributions are discussed with respect to the Levi-Civita connections.Some concrete examples are provided to explain the theoretical results.
作者
刘思瑶
王勇
LIU Si-yao;WANG Yong(School of Mathematics and Statistics,Northeast Normal University,Changchun 130024,China)
出处
《东北师大学报（自然科学版）》
CAS
北大核心
2023年第4期27-31,共5页
Journal of Northeast Normal University(Natural Science Edition)
基金
国家自然科学基金资助项目(11771070).
关键词
卷积分布
可积分布
Einstein分布
warped product distributions
integrable distributions
Einstein distributions
