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<title>Hoan Nguyen — Neckpinch</title><link>https://neckpinch.com/authors/hoan-nguyen/</link><description>New arXiv papers by Hoan Nguyen, from Neckpinch</description>
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<item><title>Kähler-Ricci flow and conformal submersion</title><link>https://neckpinch.com/papers/2301.13065/</link><guid isPermaLink="false">arxiv:2301.13065</guid><pubDate>Mon, 30 Jan 2023 00:00:00 GMT</pubDate><description>Hoan Nguyen — We study singularity formation of Kähler-Ricci flow on a Kähler manifold that admits a horizontally homothetic conformal submersion into another Kähler manifold. We will derive necessary and sufficient conditions for the preservation of horizontally homothetic conformal submersion along the flow and establish the formation of type I singularity together with a standard splitting of the Cheeger-Gromov limit. This generalizes the setup of Calabi symmetry that was discussed in and, thus gives new proofs for the results listed there.</description><category>Ricci flow</category><category>Kähler–Ricci flow</category><category>Singularities</category><category>Kähler geometry</category></item>
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