关于流形及其子流形的两类曲率关系  

Relation of Two Kinds of Curvatures on Manifolds and Submanifolds

作　　者：许飞[1] 张迪[2] 曹贻鹏[1] 王素云[1] 

机构地区：[1]装甲兵工程学院基础部,北京100072 [2]装甲兵工程学院控制工程系,北京100072

出　　处：《装甲兵工程学院学报》2011年第3期100-102,共3页Journal of Academy of Armored Force Engineering

摘　　要：将Riemann子流形理论推广到Finsler子流形中,并且根据子流形诱导的联络和本身联络不同的特点,利用Chern联络计算了流形及其子流形的Landsberg曲率和S曲率关系,为子流形的进一步研究提供了便利。In this paper,submanifold theory of Riemann is generalized to submanifold of Finsler.According to the differences between induction connection and nature connection of submanifold,the relation between landsberg curvature and S curvature on manifold and submanifold is deduced by using the Chern connection,providing basis for the further research of submanifolds.

关 键 词：Cartan挠率 Chern联络 FINSLER度量 Landsberg曲率 S曲率 

分 类 号：O186[理学—数学]