伪辛空间的分解  

The Decomposition of Bogus Symplectic Space

作　　者：罗智华[1] 

机构地区：[1]琼州大学数学系,海南五指山572200

出　　处：《河南师范大学学报（自然科学版）》2002年第2期90-92,共3页Journal of Henan Normal University(Natural Science Edition)

摘　　要：论述欧氏空间、辛空间、伪辛空间的本质属性及演变过程 .阐述概念的产生、扩充和分化 ,说明对称度量与反对称度量的内在联系和区别 .对伪辛空间进行分解 ,同时给出分解的方法 ,揭示伪辛空间向辛空间与欧氏的延伸 ,得出伪辛空间包蕴辛空间与欧氏空间的结论 .并指出其发展前景 .In this paper the essential property and developmental course of Euclidean space, sympletic space and bogus symplectic space is studied,Is expounded the produce, expansion and divide of concept, is showed the inner Link and the distinction between symmetry magnitude and antisymmetry magnitude.Is resolved.the bogus symplectic space, is gived a method of resolution. The expounding to Euclidean space and symplectic space from bogus symplectic space is revealed.Is drawed a conclusion of containing Euclidean space and symplectic space in the bogus symplectic space, and its development future is pointed out.

关 键 词：分解 伪辛空间 辛空间 欧氏空间 对称度量 反对称数量 伪辛几何 

分 类 号：O184[理学—数学]