Moser stability for volume forms on noncompact fiber bundles

Álvaro Pelayo; Xiudi Tang

doi:10.1016/j.difgeo.2018.12.003

Moser stability for volume forms on noncompact fiber bundles

Álvaro Pelayo^*, Xiudi Tang

^*Corresponding author for this work

University of California at San Diego

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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.

Original language	English
Pages (from-to)	120-136
Number of pages	17
Journal	Differential Geometry and its Application
Volume	63
DOIs	https://doi.org/10.1016/j.difgeo.2018.12.003
Publication status	Published - Apr 2019
Externally published	Yes

Keywords

Diffeomorphism
Fiber bundle
Moser
Stability
Volume form

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10.1016/j.difgeo.2018.12.003

Cite this

@article{a2bcfb774924476cb5299231a8e6dfc8,

title = "Moser stability for volume forms on noncompact fiber bundles",

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.",

keywords = "Diffeomorphism, Fiber bundle, Moser, Stability, Volume form",

author = "{\'A}lvaro Pelayo and Xiudi Tang",

note = "Publisher Copyright: {\textcopyright} 2019 Elsevier B.V.",

year = "2019",

month = apr,

doi = "10.1016/j.difgeo.2018.12.003",

language = "English",

volume = "63",

pages = "120--136",

journal = "Differential Geometry and its Application",

issn = "0926-2245",

publisher = "Elsevier B.V.",

}

TY - JOUR

T1 - Moser stability for volume forms on noncompact fiber bundles

AU - Pelayo, Álvaro

AU - Tang, Xiudi

PY - 2019/4

Y1 - 2019/4

N2 - 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.

AB - 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.

KW - Diffeomorphism

KW - Fiber bundle

KW - Moser

KW - Stability

KW - Volume form

UR - https://www.scopus.com/pages/publications/85060102751

U2 - 10.1016/j.difgeo.2018.12.003

DO - 10.1016/j.difgeo.2018.12.003

M3 - Article

AN - SCOPUS:85060102751

SN - 0926-2245

VL - 63

SP - 120

EP - 136

JO - Differential Geometry and its Application

JF - Differential Geometry and its Application

ER -

Moser stability for volume forms on noncompact fiber bundles

Abstract

Keywords

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