摘要
本文先叙述了与 Ｐｏｉｓｓｏｎ 流形和 Ｃａｓｉｍｉｒ函数有关的概念和符号；再利用广义 Ｐｏｉｓｓｏｎ括号的独特性质对Ｐｏｉｓｓｏｎ 流形上的Ｃａｓｉｍｉｒ函数进行了讨论，得出了构造新Ｃａｓｉｍｉｒ函数以及与Ｃａｓｉｍｉｒ函数相关的广义Ｈａｍｉｌｔｏｎ向量场之间关系的几个命题。
In this paper,we put forward some concepts and symbols that are relevant to poisson manifold and casimir function. And then we make use of the generalized poisson bracket's special charater to discuss the casimir function in poisson manifold. We obtain some propositions about constructing new casimir fuction and relations between generalized Hamilton vector fields correlated with casimire function.
出处
《新疆师范大学学报（自然科学版）》
2000年第1期1-3,共3页
Journal of Xinjiang Normal University(Natural Sciences Edition)
