54 citations · 174 across the 23 of their papers we have counts for
23 papers
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…
A class of curvature type equations
Pengfei Guan, Xiangwen Zhang
In this paper, we study the solvability of a general class of fully nonlinear curvature equations, which can be viewed as generalizations of the equations for Christoffel-Minkowski…
Parabolic complex Monge-Ampere equations on compact Kahler manifolds
Sebastien Picard, Xiangwen Zhang
We study the long-time existence and convergence of general parabolic complex Monge-Ampere type equations whose second order operator is not necessarily convex or concave in the He…