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<title>Mannaim Gennaro Vitti — Neckpinch</title><link>https://neckpinch.com/authors/mannaim-gennaro-vitti/</link><description>New arXiv papers by Mannaim Gennaro Vitti, from Neckpinch</description>
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<item><title>Generalized Yamabe Flows</title><link>https://neckpinch.com/papers/2412.02593/</link><guid isPermaLink="false">arxiv:2412.02593</guid><pubDate>Tue, 03 Dec 2024 00:00:00 GMT</pubDate><description>Jørgen Olsen Lye, Boris Vertman, Mannaim Gennaro Vitti — In this work we introduce a family of conformal flows generalizing the classical Yamabe flow. We prove that for a large class of such flows long-time existence holds, and the arguments are in fact simpler than in the classical case. Moreover, we establish convergence for the case of negative scalar curvature and expect a similar statement for the positive and the flat cases as well.</description><category>Yamabe flow</category><category>Scalar curvature</category><category>Long-time existence &amp; convergence</category></item>
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