23 citations · 68 across the 9 of their papers we have counts for
9 papers
Remarks on Generalized Calabi-Gray Manifolds
Teng Fei
Generalized Calabi-Gray manifolds are non-Kähler complex manifolds with very explicit geometry yet not being homogeneous. In this note, we demonstrate that how generalized Calabi-G…
Symplectic geometric flows
Teng Fei, Duong H. Phong
Several geometric flows on symplectic manifolds are introduced which are potentially of interest in symplectic geometry and topology. They are motivated by the Type IIA flow and T-…
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…
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…
Unification of the Kähler-Ricci and Anomaly flows
Teng Fei, Duong H. Phong
A new formulation of the Anomaly flow in the case of vanishing slope parameter is given, where the dependence on the global section of the canonical bundle appears only in the init…
Anomaly Flow and T-Duality
Teng Fei, Sebastien Picard
In this paper, we study the dual Anomaly flow, which is a dual version of the Anomaly flow under T-duality. A family of monotone functionals is introduced and used to estimate the…
The Anomaly flow over Riemann surfaces
Teng Fei, Zhijie Huang, Sebastien Picard
We initiate the study of a new nonlinear parabolic equation on a Riemann surface. The evolution equation arises as a reduction of the Anomaly flow on a fibration. We obtain a crite…
A Construction of Infinitely Many Solutions to the Strominger System
Teng Fei, Zhijie Huang, Sebastien Picard
In this paper we construct explicit smooth solutions to the Strominger system on generalized Calabi-Gray manifolds, which are compact non-Kähler Calabi-Yau 3-folds with infinitely…
Stable Forms, Vector Cross Products and Their Applications in Geometry
Teng Fei
The connection between Hitchin's stable forms and vector cross products is observed. Using this correspondence, we construct new examples of non-Kahler Calabi-Yau 3-folds and manif…