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New invariants in CR and contact geometry

New invariants in CR and contact geometry

Cauchy-Riemann geometry, CR for short, is the natural geometry of real pseudoconvex hypersurfaces of C^{n+1} for n≥1. We consider the generic case when CR manifolds are contact manifolds. CR geometry presents strong analogies with conformal geometry; hence, known invariants and techniques of conformal geometry can be transported to that context. …