English

Symplectic geometric flows

Symplectic Geometry 2021-11-30 v1 High Energy Physics - Theory Mathematical Physics Analysis of PDEs Differential Geometry math.MP

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.

Keywords

Cite

@article{arxiv.2111.14048,
  title  = {Symplectic geometric flows},
  author = {Teng Fei and Duong H. Phong},
  journal= {arXiv preprint arXiv:2111.14048},
  year   = {2021}
}

Comments

16 pages, comments welcome!

R2 v1 2026-06-24T07:54:28.822Z