Nondegenerate conformal structures, CR structures and quaternionic CR structures on manifolds

Abstract

In this expository article, we study integrable, nondegenerate geometric structures on odd dimensional smooth manifolds simultaneously. We are mainly interested in conformal structure on n-manifolds, CR structure on (2n + 1)-manifolds and a new structure, pseudo-conformal quaternionic CR structure on (4n + 3)-manifolds.