AFFINELY HOMOGENEOUS REAL HYPERSURFACES OF 3-DIMENSIONAL COMPLEX SPACE
The problem of complete description for the class of homogeneous manifolds signed in the title is considered in the survey. The essence of the main approach is stated that is connected with the using of the canonical equations of the manifolds under study. Auxiliary ideas and constructions are described that allow (in visible perspective) to get the full solution of the problem under investigation. The lot of results are cited that were obtained in the last 10 years and will constitute the core of the expected solution.