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<title>Shahroud Azami — Neckpinch</title><link>https://neckpinch.com/authors/shahroud-azami/</link><description>New arXiv papers by Shahroud Azami, from Neckpinch</description>
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<item><title>Geometric properties of second Ricci solitons</title><link>https://neckpinch.com/papers/2512.06027/</link><guid isPermaLink="false">arxiv:2512.06027</guid><pubDate>Thu, 04 Dec 2025 00:00:00 GMT</pubDate><description>Masoumeh Khalili, Ghodratallah Fasihi-Ramandi, Shahroud Azami — This paper introduce the idea of second Ricci solitons. A second Ricci soliton is nothing but a steady hyperbolic Ricci soliton. We study the geometry of closed and compact second Ricci soliton manifolds. Immersed submanifolds as second solitons also will be investigated. Finally, we investigate this structure on warped product manifolds.</description><category>Ricci solitons</category><category>Rotational symmetry &amp; warped products</category></item>
<item><title>Parabolic frequency monotonicity on the conformal Ricci flow</title><link>https://neckpinch.com/papers/2310.11208/</link><guid isPermaLink="false">arxiv:2310.11208</guid><pubDate>Tue, 17 Oct 2023 00:00:00 GMT</pubDate><description>Abimbola Abolarinwa, Shahroud Azami — This paper is devoted to the investigation of the monotonicity of parabolic frequency functional under conformal Ricci flow defined on a closed Riemannian manifold of constant scalar curvature and dimension not less than 3. Parabolic frequency functional for solutions of certain linear heat equation coupled with conformal pressure is defined and its monotonicity under the conformal Ricci flow is proved by applying Bakry-Emery Ricci curvature bounds. Some consequences of the monotonicity are also presented.</description><category>Ricci flow</category><category>Scalar curvature</category><category>Limit spaces &amp; RCD</category></item>
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