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<title>Claudio Afeltra — Neckpinch</title><link>https://neckpinch.com/authors/claudio-afeltra/</link><description>New arXiv papers by Claudio Afeltra, from Neckpinch</description>
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<item><title>A non-convergence phenomenon for the CR Yamabe flow</title><link>https://neckpinch.com/papers/2606.27164/</link><guid isPermaLink="false">arxiv:2606.27164</guid><pubDate>Thu, 25 Jun 2026 00:00:00 GMT</pubDate><description>Claudio Afeltra, Andrea Pinamonti, Pak Tung Ho — We construct a contact form on a three dimensional CR manifold such that the CR Yamabe flow fails to converge. More precisely, on small Rossi deformations of the standard CR three-sphere, we exhibit an example whose corresponding CR Yamabe flow develops a one-bubble concentration regime. The construction is based on the negativity of the pseudohermitian mass on the Rossi spheres. This shows that mass positivity is not merely a technical assumption in the known convergence results for the CR Yamabe flow, but is genuinely connected to the large-time dynamics of the flow.</description><category>Yamabe flow</category><category>3-manifolds</category></item>
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