Classification of homogeneous strictly pseudoconvex hypersurfaces in ${\mathbb{C}}^3$

Abstract

Locally homogeneous strictly pseudoconvex hypersurfaces in ${\mathbb{C}}^2$ were classified by E.\,Cartan in 1932. In this work, we complete the classification of locally homogeneous strictly pseudoconvex hypersurfaces in ${\mathbb{C}}^3$.