Compact Ovoids in Quadrangles II: The Classical Quadrangles

Geometriae Dedicata

Volumn 79, Issue 2, 2000, Pages 179-188

  Kramer, Linus ^a  

^a UNIVERSITY OF WÜRZBURG   (Germany)

Author keywords

Classical quadrangles; Generalized quadrangles; Ovoids; Spreads

Indexed keywords

EID: 0009946505     PISSN: 00465755     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1005203319181     Document Type: Article

References (20)

1. Adams, J.F. and Walker, G.: On complex Stiefel manifolds, Proc. Cambridge Math. Soc. 61 (1965), 81-103.
2. Borel, A. and Serre, J.P.: Groupes de Lie et puissances réduites de Steenrod, Amer. J. Math. 75 (1953), 409-448; Borel, A.: Collected Papers Vol.1, Springer-Verlag, New York, 1983, pp. 262-301.
3. Borel, A. and Serre, J.P.: Groupes de Lie et puissances réduites de Steenrod, Amer. J. Math. 75 (1953), 409-448; Borel, A.: Collected Papers Vol.1, Springer-Verlag, New York, 1983, pp. 262-301.
4. Burns, K. and Spatzier, R.: On topological Tits buildings and their classification, Inst. Hautes Études Sci. Publ. Math. 65 (1987), 5-34.
5. Grundhöfer, T. and Knarr, N.: Topology in generalized quadrangles, Topology Appl. 34 (1990), 139-152.
6. Grundhöfer, T., Knarr, N. and Kramer, L.: Flag-homogeneous compact connected polygons, Geom. Dedicata 55 (1995), 95-114.
7. Hebda, J.J: The possible cohomology rings of certain types of taut submanifolds, Nagoya Math. J. 111 (1988), 85-97.
8. Helgason, S.: Differential Geometry, Lie Groups, and Symmetric Spaces, Academic Press, San Diego, 1978.
9. Hsiang, W.-Y. and Su, J.C.: On the classification of transitive effective actions on Stiefel manifolds, Trans. Amer. Math. Soc. 130 (1968), 322-336.
10. Husemoller, D.: Fibre Bundles, 3rd edn, Springer-Verlag, New York, 1993.
11. James, I.M. and Whitehead, J.H.C.: The homotopy theory of sphere bundles over spheres (I), Proc. London Math. Soc. 4 (1954), 196-218.
12. James, I.M.: Cross-sections of Stiefel manifolds, Proc. London Math. Soc. 8 (1958), 536-547.
13. James, I.M.: On the homotopy type of Stiefel manifolds, Proc. Amer. Math. Soc. 29 (1971), 151-158.
14. James, I.M.: The Topology of Stiefel Manifolds, Cambridge University Press, Cambridge, 1976.
15. Kramer, L.: Compact polygons, PhD Thesis, Tübingen, 1994.
16. Kramer, L. and Van Maldeghem, H.: Compact ovoids in quadrangles I: Geometric constructions, Geom. Dedicata 78 (1999), 279-300.
17. Kramer, L.: Compact ovoids in quadrangles III: Clifford algebras and isoparametric hypersurfaces, Geom. Dedicata to appear.
18. Münzner, H.-F.: Isoparametrische Hyperflächen in Sphären II, Math. Ann. 256 (1981), 215-232.
19. Onishchik, A.L. and Vinberg, E.B.: Lie Groups and Algebraic Groups, Springer-Verlag, New York, 1990.
20. Sigrist, F. and Suter, U.: Cross-sections of symplectic Stiefel manifolds, Trans. Amer. Math. Soc. 184 (1973), 247-259.