AbstractThis 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 theory of parabolic geometries are discussed
The study of CR manifolds lies at the intersection of three main mathematical disciplines: partial d...
Cauchy-Riemann geometry, CR for short, is the natural geometry of real pseudoconvex hypersurfaces of...
Abstract. There is a well known one–parameter family of left invariant CR structures on SU(2) ∼ = S...
summary:The Fefferman construction associates to a manifold carrying a CR–structure a conformal stru...
We construct a conformal class of Lorentz metrics naturally associated with an abstract definite CR ...
There are only some exceptional CR dimensions and codimensions such that the geometries enjoy a disc...
This is an expository article related to a talk, which I gave at the International Conference in hon...
Revised version: some spelling errors corrected.The reader is introduced to the geometry of CR manif...
summary:We introduce a torsion free linear connection on a hypersurface in a Sasakian manifold on wh...
We elaborate the tractor calculus for compatible almost CR structures (also known as strictly pseudo...
AbstractWe investigate the Fefferman spaces of conformal type which are induced, via parabolic geome...
This work will concentrate on transversal CR embeddings of one CR manifold into another both of hype...
summary:There is a well known one–parameter family of left invariant CR structures on $SU(2)\cong S^...
summary:A certain family of homogeneous spaces is investigated. Basic invariant operators for each o...
We study foliations on CR manifolds and show the following. (1) For a strictly pseudoconvex CR manif...
The study of CR manifolds lies at the intersection of three main mathematical disciplines: partial d...
Cauchy-Riemann geometry, CR for short, is the natural geometry of real pseudoconvex hypersurfaces of...
Abstract. There is a well known one–parameter family of left invariant CR structures on SU(2) ∼ = S...
summary:The Fefferman construction associates to a manifold carrying a CR–structure a conformal stru...
We construct a conformal class of Lorentz metrics naturally associated with an abstract definite CR ...
There are only some exceptional CR dimensions and codimensions such that the geometries enjoy a disc...
This is an expository article related to a talk, which I gave at the International Conference in hon...
Revised version: some spelling errors corrected.The reader is introduced to the geometry of CR manif...
summary:We introduce a torsion free linear connection on a hypersurface in a Sasakian manifold on wh...
We elaborate the tractor calculus for compatible almost CR structures (also known as strictly pseudo...
AbstractWe investigate the Fefferman spaces of conformal type which are induced, via parabolic geome...
This work will concentrate on transversal CR embeddings of one CR manifold into another both of hype...
summary:There is a well known one–parameter family of left invariant CR structures on $SU(2)\cong S^...
summary:A certain family of homogeneous spaces is investigated. Basic invariant operators for each o...
We study foliations on CR manifolds and show the following. (1) For a strictly pseudoconvex CR manif...
The study of CR manifolds lies at the intersection of three main mathematical disciplines: partial d...
Cauchy-Riemann geometry, CR for short, is the natural geometry of real pseudoconvex hypersurfaces of...
Abstract. There is a well known one–parameter family of left invariant CR structures on SU(2) ∼ = S...
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