We show that any nondegenerate polar space of rank at least 4 with at least 3 points on each line is isomorphic to one of the classical examples. Although this is not a new result, the authors have recently found a simple proof which works equally well for spaces of finite or infinite rank. Here we present an alternate approach to part of that classification. © 1993 Birkhäuser Verlag.
Cuypers, H., Johnson, P., Pasini, A. (1993). On the classification of polar spaces. JOURNAL OF GEOMETRY, 48(1-2), 56-62 [10.1007/BF01226800].
On the classification of polar spaces
PASINI A.
1993-01-01
Abstract
We show that any nondegenerate polar space of rank at least 4 with at least 3 points on each line is isomorphic to one of the classical examples. Although this is not a new result, the authors have recently found a simple proof which works equally well for spaces of finite or infinite rank. Here we present an alternate approach to part of that classification. © 1993 Birkhäuser Verlag.
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