Geometriae Dedicata

, Volume 83, Issue 1–3, pp 63–76

Implicit Characterizations of Smooth Incidence Geometries

  • Richard Bödi
  • Stefan Immervoll
Article
  • 32 Downloads

Abstract

We give a characterization of smooth stable and smooth projective planes in terms of submersion and transversality. Moreover, smooth affine translation planes are characterized by properties of their corresponding spreads, considered as subsets of the Grassmannian. The last section contains smoothness results about spherical Moebius planes. In particular, we establish smoothness properties of the classical Moebius plane.

smooth incidence structures smooth planes Grassmann manifolds transversality 

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Copyright information

© Kluwer Academic Publishers 2000

Authors and Affiliations

  • Richard Bödi
    • 1
  • Stefan Immervoll
    • 2
  1. 1.Mathematisches InstitutUniversität TübingenTübingenGermany.
  2. 2.Mathematisches InstitutUniversität TübingenTübingenGermany.

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