Ilias Tergiakidis — Neckpinchhttps://neckpinch.com/authors/ilias-tergiakidis/New arXiv papers by Ilias Tergiakidis, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT The branching curves and their application to the four dimensional Ricci flowhttps://neckpinch.com/papers/1801.07315/arxiv:1801.07315Mon, 22 Jan 2018 00:00:00 GMTIlias Tergiakidis — We study the four dimensional Ricci flow with the help of local invariants. If (M⁴, g(t)) is a solution to the Ricci flow and x ∈ M⁴, we can associate to the point x 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