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<title>Matthias Wink — Neckpinch</title><link>https://neckpinch.com/authors/matthias-wink/</link><description>New arXiv papers by Matthias Wink, from Neckpinch</description>
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<item><title>New expanding Ricci solitons starting in dimension four</title><link>https://neckpinch.com/papers/2307.16683/</link><guid isPermaLink="false">arxiv:2307.16683</guid><pubDate>Mon, 31 Jul 2023 00:00:00 GMT</pubDate><description>Jan Nienhaus, Matthias Wink — We prove that there exists a gradient expanding Ricci soliton asymptotic to any given cone over the product of a round sphere and a Ricci flat manifold. In particular we obtain asymptotically conical expanding Ricci solitons with positive scalar curvature on ℝ³ × S¹. More generally we construct continuous families of gradient expanding Ricci solitons on trivial vector bundles over products of Einstein manifolds with arbitrary Einstein constants.</description><category>Ricci solitons</category><category>Einstein metrics</category><category>Ricci-flat &amp; Calabi–Yau</category><category>4-manifolds</category><category>Scalar curvature</category><category>Boundaries &amp; non-compact</category></item>
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