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<title>Zehao Sha — Neckpinch</title><link>https://neckpinch.com/authors/zehao-sha/</link><description>New arXiv papers by Zehao Sha, from Neckpinch</description>
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<item><title>The Kähler-Ricci soliton on bounded pseudoconvex domains</title><link>https://neckpinch.com/papers/2412.03345/</link><guid isPermaLink="false">arxiv:2412.03345</guid><pubDate>Wed, 04 Dec 2024 00:00:00 GMT</pubDate><description>Zehao Sha — In this paper, we study Kähler-Ricci solitons on bounded pseudoconvex domains in ℂⁿ with C² boundary. Under suitable assumptions, we prove that such solitons must be Kähler-Einstein. Building on Huang and Xiao&apos;s resolution of Cheng&apos;s conjecture, we further establish an analogous result for Bergman Kähler-Ricci solitons. Several model domains are presented to illustrate our results.</description><category>Ricci solitons</category><category>Kähler–Ricci solitons</category><category>Einstein metrics</category><category>Kähler geometry</category><category>Kähler–Einstein &amp; K-stability</category></item>
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