多辛向量空间的子空间
Subspaces of Multisymplectic Vector Spaces
摘要：
多辛几何中的正交性概念由Cantrijn、Ibort和de León提出，并被许多作者使用。在本文中，我们回顾了这一概念，并提出了一种新的类型的正交多辛几何，我们证明了一些结果，这种正交性及其相关的子空间。最后，我们计算的各种子空间的G_2-向量空间的基础上的两种类型的正交性。
英文摘要：
A notion of orthogonality in multisymplectic geometry has been developed by Cantrijn, Ibort and de León and used by many authors. In this paper, we review this concept and propose a new type of orthogonality in multisymplectic geometry; we prove a number of results regarding this orthogonality and its associated subspaces. We end by calculating the various subspaces of a G_2-vector space based on both types of orthogonality.
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