Research profile

Ilias Tergiakidis

Works on 4-manifolds, limit spaces & RCD and singularities.

NP-RC-105234

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4-manifoldsLimit spaces & RCDSingularitiesRicci flow

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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.

2018

math.DGv2arXiv:1801.07315

The branching curves and their application to the four dimensional Ricci flow

Ilias Tergiakidis

We study the four dimensional Ricci flow with the help of local invariants. If is a solution to the Ricci flow and , we can associate to the point a one-parameter family of curves, which lie in the product of two projective lines. This allows us to reformulate the Cheeger-Gromov-Hamilton Compactness Theorem in the context of these curves. We use this result, in order to study Type I singularities in dimension four and give a characterization of the corresponding singularity models.

Ricci flowSingularities4-manifoldsLimit spaces & RCD
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