有关流形间泊松映射的几点讨论  

SEVERAL DISCUSSIONS ABOUT POISSON MAPPING

作　　者：白薇[1] 穆强[1] 宋建华[1] 

机构地区：[1]哈尔滨师范大学

出　　处：《哈尔滨师范大学自然科学学报》2007年第1期8-9,共2页Natural Science Journal of Harbin Normal University

基　　金：哈尔滨师范大学校科研基金资助项目

摘　　要：本文建立了一个与泊松映射有关的交换图表,在此基础之上讨论了泊松映射的几个性质,进而说明了泊松映射可以把泊松流形上的余迷向子流形映为余迷向子流形．最后,还得到了泊松流形上的Casimir函数在泊松同构的作用下仍是Casimir函数的结论．In this paper, the commutative diagram about the poisson mapping is constructed, some properties of the poisson mapping are discussed. Furthermore we can get the result that the coisotropic submanifold on the poisson manifold is still the coisotropic submanifold by poisson mapping. Finally the conclusion can be obtained that the Casimir function on the poisson manifold, which is acted on by poisson isomorphic, is still the Casimir function.

关 键 词：泊松映射 余迷向子流形 CASIMIR函数 

分 类 号：N55[自然科学总论] G658.3[文化科学—教育学]