Symplectic curvature flow revisited

Casey Lynn Kelleher

doi:10.1016/j.aim.2019.04.005

Symplectic curvature flow revisited

Casey Lynn Kelleher

Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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 language	English (US)
Pages (from-to)	426-458
Number of pages	33
Journal	Advances in Mathematics
Volume	349
DOIs	https://doi.org/10.1016/j.aim.2019.04.005
State	Published - Jun 20 2019

All Science Journal Classification (ASJC) codes

General Mathematics

Keywords

Geometric flows
Symplectic geometry

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10.1016/j.aim.2019.04.005

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title = "Symplectic curvature flow revisited",

abstract = "We continue studying a parabolic flow of almost K{\"a}hler structures introduced by Streets and Tian which naturally extends K{\"a}hler–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].",

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AB - 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].

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KW - Symplectic geometry

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VL - 349

SP - 426

EP - 458

JO - Advances in Mathematics

JF - Advances in Mathematics

ER -

Symplectic curvature flow revisited

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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