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GENERALIZATIONS OF THE FUNDAMENTAL THEOREM OF PROJECTIVE GEOMETRY

  • RUPERT MCCALLUM (a1)
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Thesis submitted to the University of New South Wales, December 2008. Degree approved, February 2009. Supervisor: Professor Michael Cowling.

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References
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[1] Čap A., Cowling M. G., De Mari F., Eastwood M. and McCallum R., ‘The Heisenberg group, SL(3,ℝ), and rigidity’, in: Harmonic Analysis, Group Representations, Automorphic Forms and Invariant Theory, Lecture Notes Series, 12 (Institute of Mathematical Sciences, National University of Singapore, 2007).
[2] Carathéodory C., ‘The most general transformations of plane regions which transform circles into circles’, Bull. Amer. Math. Soc. 43 (1937), 573579.
[3] Corlette K., ‘Archimedean superrigidity and hyperbolic geometry’, Ann. of Math. (2) 135 (1992), 165182.
[4] Cowling M., De Mari F., Kornyi A. and Reimann H. M., ‘Contact and conformal maps in parabolic geometry. I’, Geom. Dedicata 111 (2005), 6586.
[5] Gehring F. W., ‘Rings and quasiconformal mappings in space’, Trans. Amer. Math. Soc. 103 (1962), 353393.
[6] Gromov M. and Schoen R., ‘Harmonic maps into singular spaces and p-adic superrigidity for lattices in groups of rank one’, Inst. Hautes Études Sci. Publ. Math. 76 (1992), 165246.
[7] Mostow G. D., Strong Rigidity of Locally Symmetric Spaces, Annals of Mathematics Studies, 78 (Princeton University Press, Princeton, NJ, 1973).
[8] Rešetnjak Ju. G., ‘Liouville’s conformal mapping theorem under minimal regularity hypotheses’, Sibirsk. Mat. Ž. 8 (1967), 835840.
[9] Tits J., Buildings of Spherical Type and Finite BN Pairs, Lecture Notes in Mathematics, 386 (Springer, Berlin, 1974).
[10] Yamaguchi K., ‘Differential systems associated with simple graded Lie algebras’, in: Progress in Differential Geometry, Advanced Studies in Pure Mathematics, 22 (Mathematical Society of Japan, Tokyo, 1993), pp. 413494.
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Bulletin of the Australian Mathematical Society
  • ISSN: 0004-9727
  • EISSN: 1755-1633
  • URL: /core/journals/bulletin-of-the-australian-mathematical-society
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