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CR Geometry in 3D

Princeton University

I plan to summarize recent work on CR structures in 3D. Based on strong analogy with conformal geometry in 4-D, we investigate the consequences of the sign condition on two conformally covariant operators: the CR conformal Laplacian and the CR version of the Paneitz operator. Among which are the solution of the embedding problem, the positivity of the CR mass, and a characterization of the standard 3-sphere.

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