Geodesic
Irregular subsets of the Grassmannian manifolds and their maps
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 7 (2000) no. 3, pp. 331-344 Cet article a éte moissonné depuis la source Math-Net.Ru

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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 $\mathbb R^n$. 
@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/}
}
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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/