Ricci Yang-Mills flow on surfaces

DOI10.1016/j.aim.2009.08.014zbMath1190.53069arXiv0710.5487OpenAlexW2594402813MaRDI QIDQ1047661

Jeffrey Streets

Publication date: 5 January 2010

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.5487

zbMATH Keywords

isoperimetric constantYang-Millsgeometric flowsgradient solitonsbundle curvature

Mathematics Subject Classification ID

Applications of global differential geometry to the sciences (53C80) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items

Long time existence of Ricci-harmonic flow, On supersymmetric geometric flows and \(\mathcal R^2\) inflation from scale invariant supergravity, Pluriclosed Flow and the Geometrization of Complex Surfaces, Convergence of Einstein Yang-Mills systems, Boundary of Anosov dynamics and evolution equations for surfaces, Gradient estimates for the heat equation under the Ricci flow, Singularities of renormalization group flows, Ricci-Yang-Mills flow on surfaces and pluriclosed flow on elliptic fibrations, Classification of solitons for pluriclosed flow on complex surfaces

Cites Work

• Meilleures constantes dans le théorème d'inclusion de Sobolev et un théorème de Fredholm non linéaire pour la transformation conforme de la courbure scalaire
• The Einstein-Maxwell Equations, Extremal Kahler Metrics, and Seiberg-Witten Theory
• A note on uniformization of Riemann surfaces by Ricci flow
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