4 papers · 1 filter
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…
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…