Kähler Stability of Symplectic Forms

Using dynamical stability of symplectic curvature flow, we show that on a compact Calabi–Yau manifold, any small symplectic deformation of a Kähler form remains Kähler.

Saved in:
Bibliographic Details
Published in:The Journal of geometric analysis 2022-12, Vol.32 (12), Article 292
Main Authors: Streets, Jeffrey, Tian, Gang
Format: Article
Language:English
Subjects:
Abstract Harmonic Analysis
Analysis and Geometry of Complete Manifolds: A Special Issue in Honor of Peter Li
Convex and Discrete Geometry
Differential Geometry
Dynamic stability
Dynamical Systems and Ergodic Theory
Flow stability
Fourier Analysis
Geometry
Global Analysis and Analysis on Manifolds
Mathematics
Mathematics and Statistics
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Using dynamical stability of symplectic curvature flow, we show that on a compact Calabi–Yau manifold, any small symplectic deformation of a Kähler form remains Kähler.
ISSN:1050-6926
1559-002X
DOI:10.1007/s12220-022-01036-5