Ricci-Yang-Mills flow on surfaces and pluriclosed flow on elliptic fibrations

2021/02/18 by Jeffrey Streets, Streets, Jeffrey
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #math.AP #math.DG

paper · pdf · doi:10.48550/arxiv.2102.09538

final version, to appear in Adv. Math

arxiv created 2021/11/08 · arxiv updated 2021/11/10

Abstract

We give a complete description of the global existence and convergence for the Ricci-Yang-Mills flow on T^k bundles over Riemann surfaces. These results equivalently describe solutions to generalized Ricci flow and pluriclosed flow with symmetry.

Related

• Ricci Yang-Mills flow on surfaces
• The Ricci flow for circle bundles over surfaces
• Ricci Flow on Torus Bundles
• Convergence properties of the Yang-Mills flow on Kaehler surfaces
• Pluriclosed flow on manifolds with globally generated bundles