Geodesic
On Adjacency Preserving Maps
Canadian mathematical bulletin, Tome 17 (1974) no. 3, pp. 403-405

Voir la notice de l'article provenant de la source Cambridge University Press

In his paper [1] on homogeneous spaces W. L. Chow states that “ Any one-toone adjacency preserving transformation of the Grassmann space of all the [r] of Sn (0 < r < n— 1) onto itself is a transformation of the basic group of the space.” In the proof both the transformation and its inverse are assumed to be adjacency preserving. See also Dieudonne [2] p. 81. 
On Adjacency Preserving Maps. Canadian mathematical bulletin, Tome 17 (1974) no. 3, pp. 403-405. doi: 10.4153/CMB-1974-074-7
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[1] 1. Chow, W. L., On the Geometry of Algebraic Homogeneous Spaces. Ann. of Math. 50 (1949), 32-67. Google Scholar

[2] 2. Dieudonné, J., La Géométrie Des Groupes Classiques. 3rd edition, Springer-Verlag, Berlin Heidelberg New York (1971). Google Scholar

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