Stability of the Type IIA flow and its applications in symplectic geometry
Differential Geometry
2022-01-03 v1 High Energy Physics - Theory
Mathematical Physics
Analysis of PDEs
math.MP
Symplectic Geometry
Abstract
In this paper the dynamical stability of the Type IIA flow with no source near its stationary points is established. These stationary points had been shown previously by the authors to be Ricci-flat K\"ahler metrics on Calabi-Yau 3-folds. The dynamical stability of the Type IIA flow is then applied to prove the stability under symplectic deformations of the K\"ahler property for Calabi-Yau 3-folds.
Keywords
Cite
@article{arxiv.2112.15580,
title = {Stability of the Type IIA flow and its applications in symplectic geometry},
author = {Teng Fei and Duong H. Phong and Sebastien Picard and Xiangwen Zhang},
journal= {arXiv preprint arXiv:2112.15580},
year = {2022}
}
Comments
41 pages, comments welcome!