Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 7 (2000) no. 3, pp. 331-344
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M. A. Pankov. Irregular subsets of the Grassmannian manifolds and their maps. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 7 (2000) no. 3, pp. 331-344. http://geodesic.mathdoc.fr/item/JMAG_2000_7_3_a6/
@article{JMAG_2000_7_3_a6,
author = {M. A. Pankov},
title = {Irregular subsets of the {Grassmannian} manifolds and their maps},
journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
pages = {331--344},
year = {2000},
volume = {7},
number = {3},
language = {en},
url = {http://geodesic.mathdoc.fr/item/JMAG_2000_7_3_a6/}
}
TY - JOUR
AU - M. A. Pankov
TI - Irregular subsets of the Grassmannian manifolds and their maps
JO - Žurnal matematičeskoj fiziki, analiza, geometrii
PY - 2000
SP - 331
EP - 344
VL - 7
IS - 3
UR - http://geodesic.mathdoc.fr/item/JMAG_2000_7_3_a6/
LA - en
ID - JMAG_2000_7_3_a6
ER -
%0 Journal Article
%A M. A. Pankov
%T Irregular subsets of the Grassmannian manifolds and their maps
%J Žurnal matematičeskoj fiziki, analiza, geometrii
%D 2000
%P 331-344
%V 7
%N 3
%U http://geodesic.mathdoc.fr/item/JMAG_2000_7_3_a6/
%G en
%F JMAG_2000_7_3_a6
The maps of the Grassmannian manifold $\mathbb G^n_k$ which preserve the class of irregular subsets are studied. It is shown that in the case $n\ne 2k$ any map of this class is induced by a linear automorphism of $\mathbb R^n$.
