Add to ORKGWe construct a conformal class of Lorentz metrics naturally associated with an abstract definite CR structure. If the CR structure is that of a pseudoconvex boundary in Cn we prove that the intrinsically constructed metric is the same as that discovered by Fefferman using a solution to a complex Monge-Ampère equation. The construction presented here relies on formal solutions of a linear equation, dζ = 0, and provides a relatively simple procedure for computing the metric
Using tools from Lorentzian geometry (arising 1 from the presence of the Fefferman metric) we prove...
Conformal geometry has occupied an important position in mathematics and physics since early last ce...
The study of CR manifolds lies at the intersection of three main mathematical disciplines: partial d...
This is an expository article related to a talk, which I gave at the International Conference in hon...
We review the construction of Lorentzian metrics, such as Fefferman type metrics, associated to a gi...
AbstractThis is a survey on recent joint work with A.R. Gover on the geometry of non-degenerate CR m...
We refine estimates introduced by Balogh and Bonk, to show that the boundary extensions of isometrie...
[[abstract]]In this paper, we will use the Kohn's ∂b-theory on CR-hypersurfaces to derive some new r...
summary:The Fefferman construction associates to a manifold carrying a CR–structure a conformal stru...
Developed by LeBrun, twistor CR manifold is a 5-dimensional CR manifold foliated by Riemann spheres....
We study the interrelation among pseudohermitian and Lorentzian geometry as prompted by the existenc...
We refine estimates introduced by Balogh and Bonk, to show that the boundary extensions of isometrie...
With the help of a generalization of the Fermat principle in general relativity, we show that chains...
We study a CR analogue of the Ahlfors derivative for conformal immersions of Stowe [23] that general...
Cauchy-Riemann geometry, CR for short, is the natural geometry of real pseudoconvex hypersurfaces of...
Using tools from Lorentzian geometry (arising 1 from the presence of the Fefferman metric) we prove...
Conformal geometry has occupied an important position in mathematics and physics since early last ce...
The study of CR manifolds lies at the intersection of three main mathematical disciplines: partial d...
This is an expository article related to a talk, which I gave at the International Conference in hon...
We review the construction of Lorentzian metrics, such as Fefferman type metrics, associated to a gi...
AbstractThis is a survey on recent joint work with A.R. Gover on the geometry of non-degenerate CR m...
We refine estimates introduced by Balogh and Bonk, to show that the boundary extensions of isometrie...
[[abstract]]In this paper, we will use the Kohn's ∂b-theory on CR-hypersurfaces to derive some new r...
summary:The Fefferman construction associates to a manifold carrying a CR–structure a conformal stru...
Developed by LeBrun, twistor CR manifold is a 5-dimensional CR manifold foliated by Riemann spheres....
We study the interrelation among pseudohermitian and Lorentzian geometry as prompted by the existenc...
We refine estimates introduced by Balogh and Bonk, to show that the boundary extensions of isometrie...
With the help of a generalization of the Fermat principle in general relativity, we show that chains...
We study a CR analogue of the Ahlfors derivative for conformal immersions of Stowe [23] that general...
Cauchy-Riemann geometry, CR for short, is the natural geometry of real pseudoconvex hypersurfaces of...
Using tools from Lorentzian geometry (arising 1 from the presence of the Fefferman metric) we prove...
Conformal geometry has occupied an important position in mathematics and physics since early last ce...
The study of CR manifolds lies at the intersection of three main mathematical disciplines: partial d...