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Singularities of first kind in the harmonic map and Yang-Mills heat flows

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Abstract.

By constructing examples which are explicit up to solving an ODE, we prove that singularities of first kind exist for the harmonic map and Yang-Mills heat flows. As a by-product, we also get a simplified proof of Ratto's/Ding's theorem about the existence of harmonic Hopf constructions.

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Authors and Affiliations

  1. Mathematisches Institut der Heinrich–Heine–Universität Düsseldorf, Universitätsstraße 1, D-40225 Düsseldorf, Germany (e-mail: gastel@cs.uni-duesseldorf.de) , , , , , , DE

    Andreas Gastel

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  1. Andreas Gastel
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Received: 25 May 2000; in final form: 17 November 2000 / Published online: 25 June 2001

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Gastel, A. Singularities of first kind in the harmonic map and Yang-Mills heat flows. Math Z 242, 47–62 (2002). https://doi.org/10.1007/s002090100306

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  • DOI: https://doi.org/10.1007/s002090100306

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