乘积Leibniz流形的结构性质  

Properties of Structure in Product Leibniz Manifolds

作　　者：曾辉[1] 

机构地区：[1]新疆教育学院数学与信息技术分院,新疆乌鲁木齐830043

出　　处：《新疆师范大学学报（自然科学版）》2010年第2期59-62,共4页Journal of Xinjiang Normal University(Natural Sciences Edition)

基　　金：国家自然科学基金(10872183)

摘　　要：文章讨论了乘积Leibniz流形的结构性质,给出了乘积Leibniz流形的等价定义,得到了其上特有的Casimir函数,并利用乘积Leibniz流形的性质研究了Leibniz李群。In this paper, several properties of structure in product Leibniz manifolds are discussed, an equiw alent definition of product Leibniz manifolds is given, and some unique Casmir functions in product Leibniz manifolds are obtained. Moreover, the properties of I.eibniz--Lie Group are studied with the results that mentioned above.

关 键 词：乘积Leibniz流形 Leibniz流形的结构矩阵 CASIMIR函数 Leibniz李群 

分 类 号：O186.1[理学—数学]