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<title>Di Wu — Neckpinch</title><link>https://neckpinch.com/authors/di-wu/</link><description>New arXiv papers by Di Wu, from Neckpinch</description>
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<item><title>Liouville theorems for harmonic 1-forms on gradient Ricci solitons</title><link>https://neckpinch.com/papers/2411.12012/</link><guid isPermaLink="false">arxiv:2411.12012</guid><pubDate>Mon, 18 Nov 2024 00:00:00 GMT</pubDate><description>Chenghong He, Di Wu, Xi Zhang — We prove that there is no nontrivial L²-integrable harmonic 1-form on noncompact complete gradient steady Ricci solitons or noncompact complete gradient shrinking Kähler-Ricci solitons. As an application, it can be used to distinguish certain flat vector bundles that arise from fundamental group representations into SL(r,ℂ).</description><category>Ricci solitons</category><category>Kähler–Ricci solitons</category><category>Kähler geometry</category><category>Boundaries &amp; non-compact</category></item>
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