Transformations of Grassmannians preserving the class of base subsets

被引：0
|
作者：
Pankov M. [1 ]
机构：
[1] Institute of Mathematics, NASU, Kiev
来源：
Journal of Geometry | 2004年 / 79卷 / 1-2期
关键词：
Adjacency preserving mappings; Base subsets; Grassmannian;
D O I：
10.1007/s00022-003-1721-z
中图分类号：
学科分类号：
摘要：
Let ℘ be a finite-dimensional projective space and script G sign k be the Grassmannian consisting of all k-dimensional subspaces of ℘. In the paper we show that transformations of script G signk sending base subsets to base subsets are induced by collineations of ℘ to itself or to the dual projective space ℘*. This statement generalizes the main result of the author's paper [19]. © Birkhäuser Verlag, Basel, 2004.
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页码：169 / 176
页数：7
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