HARISH-CHANDRA RESEARCH INSTITUTE-ALLAHABAD
HARISH-CHANDRA RESEARCH INSTITUTE-ALLAHABAD
CR Geometry is a fascinating subject which interconnects Harmonic Analysis and the Theory of Several Complex Variables. Analysis related to CR manifolds lead to many surprising results including Lewy’s discovery of a PDE with no solution.
CR Manifolds arise as real hyper-surfaces in complex manifolds. An interesting feature of CR Manifolds is that the tangent space is determined by fewer number of vectors than the real dimension of the manifold. The "Missing directions" is a feature that lie at the heart of all the interesting properties in CR Geometry and makes the analysis on them more challenging.