SUBSPACES OF A PARA-QUATERNIONIC HERMITIAN VECTOR SPACE

被引：3

作者：

Vaccaro, Massimo ^{[1
]}

机构：

[1] Univ Salerno, Dipartimento Ingn Informaz & Matemat Applicata, I-84084 Fisciano, SA, Italy

来源：

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2011年 / 8卷 / 07期

关键词：

Para-quaternionic Hermitian structure; complex subspaces; para-complex subspaces; totally real subspaces; GEOMETRY;

D O I：

10.1142/S0219887811005750

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Let ((Q) over tilde, g) be a para-quaternionic Hermitian structure on the real vector space V. By referring to the tensorial presentation (V, (Q) over tilde, g) similar or equal to (H-2 circle times E-2n, sl(H), omega(H)circle times omega(E)), we give an explicit description, from an affine and metric point of view, of main classes of sub-spaces of V which are invariantly defined with respect to the structure group of (Q) over tilde and ((Q) over tilde, g) respectively.

引用

页码：1487 / 1506

页数：20

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