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

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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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