187 citations · 2.2k across the 79 of their papers we have counts for
7 papers · 1 filter
On convergence criteria for the coupled flow of Li-Yuan-Zhang
Teng Fei, Bin Guo, Duong H. Phong
A one-parameter family of coupled flows depending on a parameter is introduced which reduces when to the coupled flow of a metric with a -form due recent…
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…
Parabolic Dimensional Reductions of 11D Supergravity
Teng Fei, Bin Guo, Duong H. Phong
Ansatze are constructed under which the solutions of 11D supergravity must be stationary points of a parabolic flow on a Riemannian manifold . This parabolic flow turns o…
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…
A Geometric Construction of Solutions to 11D Supergravity
Teng Fei, Bin Guo, Duong H. Phong
Necessary and sufficient conditions are provided for a class of warped product manifolds with non-vanishing flux to be supersymmetric solutions of 11D supergravity. Many noncompact…
Compactness of Kahler-Ricci solitons on Fano manifolds
Bin Guo, Duong H. Phong, Jian Song +1
In this short paper, we improve the result of Phong-Song-Sturm on degeneration of Fano Kähler-Ricci solitons by removing the assumption on the uniform bound of the Futaki invariant…