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 .
|Original language||English (US)|
|Number of pages||33|
|Journal||Advances in Mathematics|
|State||Published - Jun 20 2019|
All Science Journal Classification (ASJC) codes
- Geometric flows
- Symplectic geometry