Long-time behavior of 3-dimensional Ricci flow: introduction

DOI10.2140/gt.2018.22.757zbMath1388.53057arXiv1411.6658OpenAlexW1926800090MaRDI QIDQ680295

Richard H. Bamler

Publication date: 23 January 2018

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.6658

zbMATH Keywords

3-manifoldsRicci flowRicci flow with surgeryasymptotics of Ricci flowfinitely many surgeriesgeometrization of 3-manifolds

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) General geometric structures on low-dimensional manifolds (57M50) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Relations of low-dimensional topology with graph theory (57M15)

Related Items (13)

On the long-time behavior of immortal Ricci flows ⋮ The singular set of mean curvature flow with generic singularities ⋮ Immortal homogeneous Ricci flows ⋮ Collapsing in the Einstein flow ⋮ A new geometric flow on 3-manifolds: the \(K\)-flow ⋮ Developments in 3D Ricci flow since Perelman ⋮ Diffeomorphism groups of prime 3-manifolds ⋮ Ricci flow on a class of noncompact warped product manifolds ⋮ Convergence of Ricci flow solutions to Taub-NUT ⋮ KAWA lecture notes on the K\"ahler-Ricci flow ⋮ Appearance of stable minimal spheres along the Ricci flow in positive scalar curvature ⋮ Differentiability of the Arrival Time ⋮ Lower bounds for the scalar curvatures of Ricci flow singularity models

Cites Work

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• The long-time behavior of 3-dimensional Ricci flow on certain topologies
• Dimensional reduction and the long-time behavior of Ricci flow
• Width and finite extinction time of Ricci flow
• Ricci flow on three-dimensional manifolds with symmetry
• On the long-time behavior of type-III Ricci flow solutions
• Volume collapsed three-manifolds with a lower curvature bound

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