Homogeneous Levi non-degenerate hypersurfaces in $\mathbb{C}^3$

TL;DR

This paper classifies all locally homogeneous, Levi non-degenerate real hypersurfaces in complex three-dimensional space with symmetry algebras of dimension six or more, advancing understanding of their geometric structures.

Contribution

It provides a complete classification of such hypersurfaces, identifying all possible geometric configurations with high symmetry in $\

Findings

Complete classification of homogeneous Levi non-degenerate hypersurfaces in $\

Identification of all hypersurfaces with symmetry algebra dimension ≥ 6

Clarification of geometric structures in complex 3-space

Abstract

We classify all (locally) homogeneous Levi non-degenerate real hypersurfaces in $\mathbb{C}^3$ with symmetry algebra of dimension $\geq 6$.