The Pullback equation for degenerate forms

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May 2010, 27(2): 657-691. doi: 10.3934/dcds.2010.27.657

The Pullback equation for degenerate forms

Saugata Bandyopadhyay ^1, , Bernard Dacorogna ^2, and Olivier Kneuss ^2,

1.	Department of Mathematical Sciences, IISER Kolkata, Mohanpur Campus, PO: BCKV Campus Main Office, Mohanpur - 741252, West Bengal, India
2.	Section de Mathématiques, Station 8, EPFL, 1015 Lausanne, Switzerland, Switzerland

Received October 2009 Revised February 2010 Published February 2010

Abstract
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We discuss the existence of a diffeomorphism $\varphi:\mathbb{R} ^{n}\rightarrow\mathbb{R}^{n}$ such that

φ^∗ (g) =f,

where $f,g:\mathbb{R}^{n}\rightarrow\Lambda^{k}$ are closed differential forms and $2\leq k\leq n-1.$

Keywords: Differential forms, Pullback equation., Darboux theorem.

Mathematics Subject Classification: Primary: 35Fxx; Secondary: 58A1.

Citation: Saugata Bandyopadhyay, Bernard Dacorogna, Olivier Kneuss. The Pullback equation for degenerate forms. Discrete & Continuous Dynamical Systems - A, 2010, 27 (2) : 657-691. doi: 10.3934/dcds.2010.27.657

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