Symplectic curvature flow revisited

Research output: Contribution to journalArticlepeer-review

Abstract

We continue studying a parabolic flow of almost Kähler structures introduced by Streets and Tian which naturally extends Kähler–Ricci flow onto symplectic manifolds. In the system of primarily the symplectic form, almost complex structure, Chern torsion and Chern connection, we establish new formulas for the evolutions of canonical quantities, in particular those related to the Chern connection. Using this, we give an extended characterization of fixed points of the flow originally performed in [12].

Original languageEnglish (US)
Pages (from-to)426-458
Number of pages33
JournalAdvances in Mathematics
Volume349
DOIs
StatePublished - Jun 20 2019

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Keywords

  • Geometric flows
  • Symplectic geometry

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