# Homogeneous almost complex manifolds and their compact quotients

## TL;DR

This paper explores the existence of compact quotients of certain homogeneous almost-complex strongly-pseudoconvex manifolds, building on recent classifications by Gaussier-Sukhov and K.-H. Lee.

## Contribution

It provides new insights into the (non)existence of compact quotients for these classified manifolds, advancing understanding in complex geometry.

## Key findings

- Identifies conditions for the existence of compact quotients.
- Classifies cases where such quotients do not exist.
- Extends previous classifications to include quotient existence results.

## Abstract

The paper investigates the (non)existence of compact quotients, by a discrete subgroup, of the homogeneous almost-complex strongly-pseudoconvex manifolds disconvered and classified by Gaussier-Sukhov and K.-H. Lee.