The Mabuchi metric and the Kähler-Ricci flow

DOI10.1090/S0002-9939-2013-11856-3zbMath1334.53071arXiv1104.5542MaRDI QIDQ5401682

Donovan McFeron

Publication date: 11 March 2014

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.5542

zbMATH Keywords

Kähler-Einstein metricsFano manifoldsKähler-Ricci flowMabuchi metric

Mathematics Subject Classification ID

Related Items (5)

Stability and convergence of the Sasaki-Ricci flow ⋮ The Mabuchi geometry of finite energy classes ⋮ Comparison of the Calabi and Mabuchi geometries and applications to geometric flows ⋮ Geodesic rays and Kähler–Ricci trajectories on Fano manifolds ⋮ Tian’s Properness Conjectures:An Introduction to Kähler Geometry

Cites Work

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• The conjugate heat equation and ancient solutions of the Ricci flow
• The Kähler-Ricci flow and the \(\overline \partial\) operator on vector fields
• Some symplectic geometry on compact Kähler manifolds. I
• The \(K\)-energy map, almost Einstein Kähler metrics and an inequality of the Miyaoka type
• Three-manifolds with positive Ricci curvature
• On stability and the convergence of the Kähler-Ricci flow
• Convergence of Kähler-Ricci flow
• BOUNDING SCALAR CURVATURE AND DIAMETER ALONG THE KÄHLER RICCI FLOW (AFTER PERELMAN)
• Kähler-Ricci flow on stable Fano manifolds
• The Kähler-Ricci flow and K-polystability
• Ricci flow and the metric completion of the space of Kähler metrics
• A Uniform Sobolev Inequality Under Ricci Flow

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