Wong-Rosay Theorem in almost complex manifolds

TL;DR

This paper investigates the compactness properties of diffeomorphism sequences in almost complex manifolds, focusing on how their direct images of the standard structure influence convergence behavior.

Contribution

It introduces a new approach to analyze the compactness of diffeomorphism sequences using direct images of the standard integrable structure in almost complex manifolds.

Findings

Established criteria for compactness based on direct images

Connected the Wong-Rosay theorem to almost complex settings

Provided new insights into the structure of diffeomorphism sequences

Abstract

We study the compactness of sequences of diffeomorphisms in almost complex manifolds in terms of the direct images of the standard integrable structure.