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<title>Kazuo Yamazaki — Neckpinch</title><link>https://neckpinch.com/authors/kazuo-yamazaki/</link><description>New arXiv papers by Kazuo Yamazaki, from Neckpinch</description>
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<item><title>On Ricci Solitons with Isoparametric Potential Functions</title><link>https://neckpinch.com/papers/2506.03545/</link><guid isPermaLink="false">arxiv:2506.03545</guid><pubDate>Wed, 04 Jun 2025 00:00:00 GMT</pubDate><description>Hung Tran, Kazuo Yamazaki — This paper studies a complete gradient Ricci soliton with an isoparametric potential function. Our first theorem asserts that, for the steady case, there is a critical level set of codimension greater than one. This is consistent with construction of cohomogeneity one models with singular orbits. There is a partial result for the shrinking case. We also study a particular ansatz of popular interest and obtain asymptotic behaviors.</description><category>Ricci solitons</category><category>Homogeneous spaces</category></item>
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