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Obstruction Flat Rigidity of the CR 3-Sphere
Mathematical Physics Seminar| Speaker: | Sean Curry, Oklahoma State |
| Location: | 918 3509 0938 Zoom-o-verse |
| Start time: | Fri, May 21 2021, 11:00AM |
On a bounded strictly (pseudo)convex domain in C^n, n>1, the smoothness of the Cheng-Yau solution to Fefferman's complex Monge-Ampère equation up to the boundary is obstructed by a local curvature invariant of the boundary, the CR obstruction density. The CR obstruction density has several different interpretations and even in the nonembeddable case it obstructs higher boundary regularity in various natural constructions. While local examples of obstruction flat CR manifolds are plentiful, the only known compact examples are the spherical CR manifolds. We consider the obstruction flatness problem for deformations of the CR 3-sphere, which need not be embeddable. This is joint work with Peter Ebenfelt (https://arxiv.org/abs/2104.01223).
Contact Andrew Waldron for zoomformation.