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On local stability of differential \((n-1)\)-forms on an \(n\)-manifold with boundary - MaRDI portal

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On local stability of differential \((n-1)\)-forms on an \(n\)-manifold with boundary (Q2722343)

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scientific article; zbMATH DE number 1617676
Language Label Description Also known as
English
On local stability of differential \((n-1)\)-forms on an \(n\)-manifold with boundary
scientific article; zbMATH DE number 1617676

    Statements

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    26 November 2002
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    classification of smooth differential \((n-1)\)-forms
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    \(n\)-manifold with boundary
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    local normal forms
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    On local stability of differential \((n-1)\)-forms on an \(n\)-manifold with boundary (English)
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    The author obtains a number of results on the classification of germs of smooth \((n-1)\)-forms on a smooth \(n\)-manifold with boundary. In particular, he classifies those \((n-1)\)-forms that are locally stable and determines their local normal forms. A main source of inspiration for the present paper is the paper by \textit{J. Martinet} [Ann. Inst. Fourier 20, No. 1, 95-178 (1970; Zbl 0189.10001)].NEWLINENEWLINEFor the entire collection see [Zbl 0961.00020].
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