Complex Lie algebroids and ACH manifolds

TL;DR

This paper introduces a new class of manifolds called ACH manifolds by defining a complex Lie structure at infinity, expanding the geometric framework for analyzing such spaces.

Contribution

It proposes the concept of manifolds with a complex Lie structure at infinity, encompassing ACH manifolds as a key example.

Findings

Defines complex Lie structures at infinity

Includes ACH manifolds within this new class

Provides a framework for further geometric analysis

Abstract

We propose the definition of a Manifold with a complex Lie structure at infinity. The important class of ACH manifolds enters into this class.