https://neckpinch.com/authors/xiangwen-zhang/New arXiv papers by Xiangwen Zhang, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT https://neckpinch.com/papers/2004.14529/arxiv:2004.14529Thu, 30 Apr 2020 00:00:00 GMTTeng Fei, Duong H. Phong, Sebastien Picard, Xiangwen Zhang — 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 interpreted as either a flow for the Type IIB string or the Anomaly flow with source term and zero slope parameter. A key ingredient in the proof is a formulation of this flow unifying it with the Ricci flow, which was recently found.Ricci flowKähler geometry https://neckpinch.com/papers/1806.11235/arxiv:1806.11235Fri, 29 Jun 2018 00:00:00 GMTDuong 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 (2,2)-forms on a 3-fold which was originally motivated by string theory and the need to preserve the conformally balanced property of a Hermitian metric in the absence of a ∂bar∂-Lemma. It has revealed itself since to be a remarkable higher order extension of the Ricci flow. It has also led to several other curvature flows which may be interesting from the point of view of both non-Kähler geometry and the theory of non-linear partial differential equations.Ricci flowOther curvature flowsKähler geometryPhysics