1607.03800Jul 13, 201619 pages, 2 figures. Previous version (v2) was split into two parts. The first part concerns families of volume forms. The second part concerns volume forms on fiber bundles and corresponds to current version (v3)
Moser stability for volume forms on noncompact fiber bundles
Álvaro Pelayo, Xiudi Tang
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.