Invariant Dirac Operators, Harmonic Spinors, and Vanishing Theorems in CR Geometry
Invariant Dirac Operators, Harmonic Spinors, and Vanishing Theorems in CR Geometry
We study Kohn-Dirac operators D θ on strictly pseudoconvex CR manifolds with spin C structure of weight ∈ Z. Certain components of D θ are CR invariants.We also derive CR invariant twistor operators of weight .Harmonic spinors correspond to cohomology classes of some twisted Kohn-Rossi complex.Applying a Schrödinger-Lichnerowicz-type formula, we …