5 citations · 8 across the 7 of their papers we have counts for
9 papers
A Smooth Counterexample to the Trautman Conjecture
Sean N. Curry
The Trautman conjecture asserted that a smooth three-dimensional CR manifold admitting a nowhere-zero closed section of its canonical bundle must be locally embeddable in $\mathbb{…
Constructing Group-Invariant CR Mappings
Jennifer Brooks, Sean Curry, Dusty Grundmeier +4
We construct CR mappings between spheres that are invariant under actions of finite unitary groups. In particular, we combine a tensoring procedure with D'Angelo's construction of…
Obstruction Flat Rigidity of the CR 3-Sphere
Sean N. Curry, Peter Ebenfelt
On a bounded strictly pseudoconvex domain in , , the smoothness of the Cheng-Yau solution to Fefferman's complex Monge-Ampère equation up to the boundary is obs…
Deformations and embeddings of three-dimensional strictly pseudoconvex CR manifolds
Sean N. Curry, Peter Ebenfelt
Abstract deformations of the CR structure of a compact strictly pseudoconvex hypersurface in are encoded by complex functions on . In sharp contrast with the…
Bounded strictly pseudoconvex domains in with obstruction flat boundary II
Sean N. Curry, Peter Ebenfelt
On a bounded strictly pseudoconvex domain in , , the smoothness of the Cheng-Yau solution to Fefferman's complex Monge-Ampere equation up to the boundary is obst…
On the Lichnerowicz conjecture for CR manifolds with mixed signature
Jeffrey S. Case, Sean N. Curry, Vladimir S. Matveev
We construct examples of nondegenerate CR manifolds with Levi form of signature , , which are compact, not locally CR flat, and admit essential CR vector fiel…
Symplectic stability on manifolds with cylindrical ends
Sean Curry, Álvaro Pelayo, Xiudi Tang
A famous result of Jurgen Moser states that a symplectic form on a compact manifold cannot be deformed within its cohomology class to an inequivalent symplectic form. It is well kn…
CR embedded submanifolds of CR manifolds
Sean N. Curry, A. Rod Gover
We develop a complete local theory for CR embedded submanifolds of CR manifolds in a way which parallels the Ricci calculus for Riemannian submanifold theory. In particular, we est…
An introduction to conformal geometry and tractor calculus, with a view to applications in general relativity
Sean Curry, A. Rod Gover
The following are expanded lecture notes for the course of eight one hour lectures given by the second author at the 2014 summer school Asymptotic Analysis in General Relativity he…