伪辛空间的生成及其表现形式  

The Formation and Representations of Pseudo-symplectic Space

作　　者：邢福弟[1] 罗智华[2] 

机构地区：[1]海南师范大学初等教育系,海南海口571158 [2]琼州大学数学系,海南五指山572200

出　　处：《大学数学》2008年第1期55-57,共3页College Mathematics

摘　　要：通过对辛空间的深入分析和研究,从空间中的度量与向量的迷向性问题入手并展开较为详细的讨论,定义"伪辛"的概念,阐述"辛"概念的演变、扩充与伪辛空间生成的事实,进而揭示伪辛空间的本质属性及其与辛空间的内在联系与区别.论述过程同时给出了伪辛空间关于辛空间的内蕴和外延表示式.The isotropy of metrics and vector in space is discussed at the beginning of this paper. After illustrating the conception ＇pseudo-sympleetry＇, the evolvement and extension of the conception ＇ sympleetry ＇ and the formation of pseudo-sympleetie space, the nature of pseudo-sympleetie space and the inner relationship and differences between pseudo- sympleetie space and sympleetie space are reflected here. The connotation and denotation representations of pseudo- sympleetie space about sympleetie space are demonstrated thereafter.

关 键 词：伪辛空间 辛空间 度量 迷向向量 表示式 

分 类 号：O177.1[理学—数学]