Moser stability for volume forms on noncompact fiber bundles

TL;DR

This paper extends Moser's stability theorem to volume forms on fiber bundles with compact bases and noncompact fibers, broadening the scope of classical stability results in differential geometry.

Contribution

It generalizes classical Moser stability results to noncompact fiber bundles with compact base, incorporating recent developments by the authors.

Findings

Established stability of volume forms on noncompact fiber bundles

Generalized classical Moser and Greene--Shiohama results

Extended stability results to broader geometric settings

Abstract

We prove a stability result for volume forms on fiber bundles with compact base and noncompact fibers. This generalizes the classical results of Moser and Greene--Shiohama, and recent work by the authors.