Dimensional reduction and the long-time behavior of Ricci flow

DOI10.4171/CMH/203zbMath1195.53094arXiv0711.4063MaRDI QIDQ983899

John Lott

Publication date: 13 July 2010

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0711.4063

zbMATH Keywords

Ricci flowGromov-Hausdorff limitThurston typetwisted principal bundle

Mathematics Subject Classification ID

Related Items (29)

On the long-time behavior of immortal Ricci flows ⋮ Optimal transport and Perelman's reduced volume ⋮ Homogeneous solutions of pluriclosed flow on closed complex surfaces ⋮ Pluriclosed flow on generalized Kähler manifolds with split tangent bundle ⋮ Immortal homogeneous Ricci flows ⋮ Singularity formation of complete Ricci flow solutions ⋮ The collapsing geometry of almost Ricci-flat 4-manifolds ⋮ Collapsing in the Einstein flow ⋮ Ricci flow on quasi-projective manifolds ⋮ Explicit Ricci solitons on nilpotent Lie groups ⋮ Four-dimensional generalized Ricci flows with nilpotent symmetry ⋮ Developments in 3D Ricci flow since Perelman ⋮ Ricci flow on a class of noncompact warped product manifolds ⋮ Collapsing geometry with Ricci curvature bounded below and Ricci flow smoothing ⋮ Homogeneous Ricci solitons are algebraic ⋮ Long-time behavior of 3-dimensional Ricci flow: introduction ⋮ Long-time behavior of 3-dimensional Ricci flow. D: Proof of the main results ⋮ On the initial geometry of a vacuum cosmological spacetime ⋮ The long-time behavior of 3-dimensional Ricci flow on certain topologies ⋮ Structure of collapsing solutions of generalized Ricci flow ⋮ Remarks on noncompact steady gradient Ricci solitons ⋮ Mixed curvature almost flat manifolds ⋮ Ricci soliton solvmanifolds ⋮ Area growth rate of the level surface of the potential function on the 3-dimensional steady gradient Ricci soliton ⋮ Ricci-Yang-Mills flow on surfaces and pluriclosed flow on elliptic fibrations ⋮ Convergence and stability of locally \(\mathbb R^N\)-invariant solutions of Ricci flow ⋮ Classification of solitons for pluriclosed flow on complex surfaces ⋮ Optimal Curvature Estimates for Homogeneous Ricci Flows ⋮ The Chern–Ricci flow on complex surfaces

This page was built for publication: Dimensional reduction and the long-time behavior of Ricci flow