Parabolic Geometries , Cr { Tractors , And
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چکیده
منابع مشابه
Parabolic Geometries, CR–Tractors, and the Fefferman Construction
This is a survey on recent joint work with A.R. Gover on the geometry of non–degenerate CR manifolds of hypersurface type. Specifically we discuss the relation between standard tractors on one side and the canonical Cartan connection, the construction of the Fefferman space and the ambient metric construction on the other side. To put these results into perspective, some parts of the general th...
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We show that elementary algebraic techniques lead to surprising results on automorphism groups of Cartan geometries and especially parabolic geometries. The example of three–dimensional CR structures is discussed in detail.
متن کاملOn the Geometry of Chains
The chains studied in this paper generalize Chern–Moser chains for CR structures. They form a distinguished family of one dimensional submanifolds in manifolds endowed with a parabolic contact structure. Both the parabolic contact structure and the system of chains can be equivalently encoded as Cartan geometries (of different types). The aim of this paper is to study the relation between these...
متن کاملFree CR Distributions
There are only some exceptional CR dimensions and codimensions such that the geometries enjoy a discrete classification of the pointwise types of the homogeneous models. The cases of CR dimensions n and codimensions n are among the very few possibilities of the so called parabolic geometries. Indeed, the homogeneous model turns out to be PSU(n+1, n)/P with a suitable parabolic subgroup P . We s...
متن کاملTractor Bundles in Cr Geometry
This is an outline of my lecture at the Hayama Symposium on several complex variables on December 21, 2002. The subject of the talk are new applications of the canonical Cartan connection for CR manifolds. Most of the results I will report on are based on joint research (partly in progress) with A.R. Gover and with J. Slovák and V. Souček. Partly, these results are specific for the class of CR ...
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تاریخ انتشار 2010