Grassmann spaces of regular subspaces

被引：2
|
作者：
Prazmowska M. [1 ]
Prazmowski K. [1 ]
Zynel M. [1 ]
机构：
[1] Institute of Mathematics, University of Bialystok, 15-267 Bialystok
来源：
Journal of Geometry | 2010年 / 97卷 / 1-2期
关键词：
grassmann space; Metric affine geometry; metric projective geometry; orthogonality; regular subspace;
D O I：
10.1007/s00022-010-0040-4
中图分类号：
学科分类号：
摘要：
The underlying metric affine geometry, or metric projective geometry, can be recovered from Grassmann spaces associated with the family of regular subspaces of respective space. In other words, automorphisms of such Grassmann spaces are collineations witch preserve orthogonality of the respective underlying space. This generalizes results of Prazmowska et al. (Linear Algebra Appl 430:3066-3079, 2009) and Prazmowska and Zynel (Adv Geom, to appear). © 2010 Springer Basel AG.
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页码：99 / 123
页数：24
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