Symplectic geometric flows

DOI10.4310/PAMQ.2023.V19.N4.A6arXiv2111.14048MaRDI QIDQ6084381

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Publication date: 30 November 2023

Published in: Pure and Applied Mathematics Quarterly (Search for Journal in Brave)

Abstract: Several geometric flows on symplectic manifolds are introduced which are potentially of interest in symplectic geometry and topology. They are motivated by the Type IIA flow and T-duality between flows in symplectic geometry and flows in complex geometry. Examples include the Hitchin gradient flow on symplectic manifolds, and a new flow which is called the dual Ricci flow.

Full work available at URL: https://arxiv.org/abs/2111.14048

zbMATH Keywords

symplectic manifoldsHitchin gradient flow

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Geometric evolution equations (53E99)

Related Items (4)

Structure-Preserving Flows of Symplectic Matrix Pairs ⋮ Geometric flows and Strominger systems ⋮ Symplectic curvature flow ⋮ Symmetry fields of geodesic flows

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