A mass for asymptotically complex hyperbolic manifolds

TL;DR

This paper establishes a positive mass theorem for complete Kähler manifolds that resemble complex hyperbolic space at infinity, extending geometric analysis in complex differential geometry.

Contribution

It provides the first positive mass theorem for asymptotically complex hyperbolic Kähler manifolds, a significant extension of classical results.

Findings

Positive mass theorem proven for asymptotically complex hyperbolic Kähler manifolds

Extension of geometric analysis techniques to complex hyperbolic settings

New insights into the geometry of asymptotically complex hyperbolic spaces

Abstract

We prove a positive mass theorem for complete K\"ahler manifolds that are asymptotic to the complex hyperbolic space.