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Brouwer degrees of gradient maps of isoparametric functions - MaRDI portal

Brouwer degrees of gradient maps of isoparametric functions (Q674707)

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scientific article; zbMATH DE number 987539
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Brouwer degrees of gradient maps of isoparametric functions
scientific article; zbMATH DE number 987539

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    Brouwer degrees of gradient maps of isoparametric functions (English)
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    18 August 1997
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    Using the method of moving frames, the authors calculate the Brouwer degree of the gradient map of any isoparametric polynomial, thus solving a problem from 1978, due to \textit{J. Eells} and \textit{L. Lemaire} (see Zbl 0401.58003). They also give some application to harmonic maps.
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    Riemannian manifold
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    Brouwer degree
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    isoparametric polynomial
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    harmonic maps
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