54 citations · 174 across the 23 of their papers we have counts for
14 papers · 1 filter
Stability of the Type IIA flow and its applications in symplectic geometry
Teng Fei, Duong H. Phong, Sebastien Picard +1
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 author…
Bochner-Kodaira Formulas and the Type IIA Flow
Teng Fei, Duong H. Phong, Sebastien Picard +1
A new derivation of the flow of metrics in the Type IIA flow is given. It is adapted to the formulation of the flow as a variant of a Laplacian flow, and it uses the projected Levi…
Geometric Flows for the Type IIA String
Teng Fei, Duong H. Phong, Sebastien Picard +1
A geometric flow on -dimensional symplectic manifolds is introduced which is motivated by supersymmetric compactifications of the Type IIA string. The underlying structure turns…
Estimates for a geometric flow for the Type IIB string
Teng Fei, Duong H. Phong, Sebastien Picard +1
It is shown that bounds of all orders of derivative would follow from uniform bounds for the metric and the torsion 1-form, for a flow in non-Kähler geometry which can be interpret…
New curvature flows in complex geometry
Duong H. Phong, Sebastien Picard, Xiangwen Zhang
This is a survey of some of the recent developments on the geometric and analytic aspects of the Anomaly flow. It is a flow of -forms on a -fold which was originally moti…
A flow of conformally balanced metrics with Kähler fixed points
Duong H. Phong, Sebastien Picard, Xiangwen Zhang
While the Anomaly flow was originally motivated by string theory, its zero slope case is potentially of considerable interest in non-Kahler geometry, as it is a flow of conformally…