Stability of the Type IIA flow and its applications in symplectic geometry

math.DG

/ Authors

Teng Fei, Duong H. Phong, Sebastien Picard, Xiangwen Zhang

/ 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 Kähler 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 Kähler property for Calabi-Yau 3-folds.