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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
3/1999

The geometry of hyperbolic and elliptic CR-manifolds of codimension two

Gerd Schmalz and Jan Slovak

Abstract

The general theory of parabolic geometries is applied to the study of the normal Cartan connections for all hyperbolic and elliptic 6-dimensional CR-manifolds of codimension two. The geometric meaning of the individual components of the torsion is explained and the chains of dimensions one and two are discussed. This seems to be the first application of the general methods to a geometry with a non-connected and non-simple structure group.

Received:
Jan 27, 1999
Published:
Jan 27, 1999

Related publications

inJournal
2000 Repository Open Access
Gerd Schmalz and Jan Slovák

The geometry of hyperbolic and elliptic CR-manifolds of codimension two

In: The Asian journal of mathematics, 4 (2000) 3, pp. 565-597