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Realization of a closed 1-form on closed oriented surfaces - MaRDI portal

Realization of a closed 1-form on closed oriented surfaces (Q1933290)

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scientific article; zbMATH DE number 6128273
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Realization of a closed 1-form on closed oriented surfaces
scientific article; zbMATH DE number 6128273

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    Realization of a closed 1-form on closed oriented surfaces (English)
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    23 January 2013
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    The authors study closed 1-forms \(\omega\) with isolated zeros on closed oriented surfaces, through the so called graph of the closed form \(G(\omega)\). They establish when a given graph generates a closed 1-form.
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    closed 1-form
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    closed oriented manifold
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    isolated zero
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    graph
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    valence of a vertex
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    rotation number
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    integral curve
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