Heat ball formulæ for \(k\)-forms on evolving manifolds (Q1739062)
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scientific article; zbMATH DE number 7047649
| Language | Label | Description | Also known as |
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| English | Heat ball formulæ for \(k\)-forms on evolving manifolds |
scientific article; zbMATH DE number 7047649 |
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Heat ball formulæ for \(k\)-forms on evolving manifolds (English)
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24 April 2019
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The main purpose of this paper is to establish a local monotonicity identity for vector bundle-valued differential k-forms on superlevel sets of appropriate heat kernel-like functions. The formula is an analogue of the one obtained by \textit{K. Ecker} et al. [J. Reine Angew. Math. 616, 89--130 (2008; Zbl 1170.35050)]. As a consequence, he obtains a local monotonicity formula for the harmonic map and Yang-Mills heat flows on evolving manifolds and a local monotonicity formula for the Yang-Mills-Higgs flow.
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local monotonicity
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geometric heat flows
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harmonic map heat flow
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Yang-Mills heat flow
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evolving manifolds
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0.8721711
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0.86565405
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0.86432374
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0.86157906
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0.86149573
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0.8614844
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0.86066985
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