Research profile

Jason Ledwidge

Works on heat kernel, Harnack inequalities and 4-manifolds.

NP-RC-923641

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Their work in this field since 2016, with the older papers the site recommends. Titles open each paper's page, with its abstract, PDF and HTML versions; Connections shows the papers closest to it. The arXiv listing has the complete record.

2020

math.DGv2arXiv:2009.06951

The sharp Li-Yau equality on Shrinking Ricci Solitons with applications

Jason Ledwidge

We prove that the sharp Li-Yau equality holds for the conjugate heat kernel on shrinking Ricci solitons without any curvature or volume assumptions. This quantity yields several estimates which allows us to classify four dimensional, non-compact shrinking Ricci solitons, which arise as Type I singularity models to the Ricci flow.

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