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<title>Giovane Galindo — Neckpinch</title><link>https://neckpinch.com/authors/giovane-galindo/</link><description>New arXiv papers by Giovane Galindo, from Neckpinch</description>
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<item><title>Chern-Ricci flow and t-Gauduchon Ricci-flat condition</title><link>https://neckpinch.com/papers/2504.09329/</link><guid isPermaLink="false">arxiv:2504.09329</guid><pubDate>Sat, 12 Apr 2025 00:00:00 GMT</pubDate><description>Eder M. Correa, Giovane Galindo, Lino Grama — In this paper, we study the t-Gauduchon Ricci-flat condition under the Chern-Ricci flow. In this setting, we provide examples of Chern-Ricci flow on compact non-Kähler Calabi-Yau manifolds which do not preserve the t-Gauduchon Ricci-flat condition for t&lt;1. The approach presented generalizes some previous constructions on Hopf manifolds. Also, we provide non-trivial new examples of balanced non-pluriclosed solution to the pluriclosed flow on non-Kähler manifolds. Further, we describe the limiting behavior, in the Gromov-Hausdorff sense, of geometric flows of Hermitian metrics (including the Chern-Ricci flow and the pluriclosed flow) on certain principal torus bundles over flag manifolds. In this last setting, we describe explicitly the Gromov-Hausdorff limit of the pluriclosed flow on principal T²-bundles over the Fano threefold ℙ(T_ℙ²).</description><category>Ricci flow</category><category>Generalized &amp; G₂ flows</category><category>Ricci-flat &amp; Calabi–Yau</category><category>3-manifolds</category><category>Kähler geometry</category><category>Limit spaces &amp; RCD</category></item>
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