多内积空间的性质

Nature of Multiple Inner Product Space

文中引入以Euclidean空间与Minkowski空间等单内积空间为其特例的多内积空间的概念,讨论了多内积空间的性质.将多内积空间理论用于考察数学与物理中的相关问题,得到(p,q)型Minkowski空间的线段最长定理.

The concepts of Multiple inner product space is introduced in this paper,with Single inner product spaces such Euclidean space and Minkowski space as the special cases,then the properties of Multiple inner product space are discussed.The theories of Multiple inner product space are used to investigate relative problems in Math and Physics to obtain the longest theorem of line segment in Minkowski space with（p,q） form.