分布卷积上的Levi-Civita联络  

The Levi-Civita connections on the warped product distributions

作　　者：刘思瑶 王勇[1] LIU Si-yao;WANG Yong(School of Mathematics and Statistics,Northeast Normal University,Changchun 130024,China)

机构地区：[1]东北师范大学数学与统计学院,吉林长春130024

出　　处：《东北师大学报（自然科学版）》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).

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.

关 键 词：卷积分布 可积分布 Einstein分布 

分 类 号：O186.1[理学—数学]