Almost Hermitian Ricci flow
We introduce a new curvature flow which matches with the Ricci flow on metrics and preserves the almost Hermitian condition. This enables us to use Ricci flow to study almost Hermitian manifolds.
Research profile
Casey Lynn Kelleher
Works on other curvature flows, Kähler–Ricci flow and Ricci flow.
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Their work in this field since 2016, with the older papers the site recommends. Titles open each paper's page, with its abstract, PDF and HTML versions; Connections shows the papers closest to it. The arXiv listing has the complete record.
2020
2018
Symplectic curvature flow revisited
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 by Streets and Tian.
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- Xiuxiong ChenShared topics: Kähler–Ricci flow, Other curvature flows, Kähler geometry
- Eleonora Di NezzaShared topics: Kähler–Ricci flow, Kähler geometry, Ricci flow
- Ryosuke NomuraShared topics: Kähler–Ricci flow, Kähler geometry, Ricci flow
- Xiangwen ZhangShared topics: Other curvature flows, Kähler geometry, Ricci flow
- Fangyang ZhengShared topics: Kähler–Ricci flow, Kähler geometry, Ricci flow
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