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<title>Charles Strickland-Constable — Neckpinch</title><link>https://neckpinch.com/authors/charles-strickland-constable/</link><description>New arXiv papers by Charles Strickland-Constable, from Neckpinch</description>
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<item><title>Ricci flow on Courant algebroids</title><link>https://neckpinch.com/papers/2402.11069/</link><guid isPermaLink="false">arxiv:2402.11069</guid><pubDate>Fri, 16 Feb 2024 00:00:00 GMT</pubDate><description>Jeffrey Streets, Charles Strickland-Constable, Fridrich Valach — We develop a theory of Ricci flow for metrics on Courant algebroids which unifies and extends the analytic theory of various geometric flows, yielding a general tool for constructing solutions to supergravity equations. We prove short time existence and uniqueness of solutions on compact manifolds, in turn showing that the Courant isometry group is preserved by the flow. We show a scalar curvature monotonicity formula and prove that generalized Ricci flow is a gradient flow, extending fundamental works of Hamilton and Perelman. Using these we show a convergence result for certain nonsingular solutions to generalized Ricci flow.</description><category>Ricci flow</category><category>Generalized &amp; G₂ flows</category><category>Scalar curvature</category><category>Stability &amp; uniqueness</category><category>Harmonic maps &amp; DeTurck trick</category><category>Physics</category></item>
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