36 citations · 93 across the 9 of their papers we have counts for
9 papers
The dissolving limit and large volume limit of Einstein-Bogomol'nyi metrics
Chengjian Yao
We study the limits of Einstein-Bogomol'nyi metrics on , which is the solution to a dimensional reduction of Einstein-Maxwell-Higgs system in dimension four, in two r…
Twisted and Singular gravitating vortices
Chengjian Yao
We introduce the notion of twisted gravitating vortex on a compact Riemann surface. If the genus of the Riemann surface is greater than 1 and the twisting forms have suitable signs…
A report on the hypersymplectic flow
Joel Fine, Chengjian Yao
This article discusses a relatively new geometric flow, called the hypersymplectic flow. In the first half of the article we explain the original motivating ideas for the flow, com…
Gravitating vortices with positive curvature
Mario Garcia-Fernandez, Vamsi Pritham Pingali, Chengjian Yao
We give a complete solution to the existence problem for gravitating vortices with non-negative topological constant . Our first main result builds on previous resul…
Cohomogeneity-one -Laplacian flow on 7-torus
Hongnian Huang, Yuanqi Wang, Chengjian Yao
We prove the hypersymplectic flow of simple type on standard torus exists for all time and converges to the standard flat structure modulo diffeomorphisms. This resu…
Hypersymplectic 4-manifolds, the -Laplacian flow and extension assuming bounded scalar curvature
Joel Fine, Chengjian Yao
A hypersymplectic structure on a 4-manifold is a triple of symplectic forms which at every point span a maximal positive-definite subspace of for the wedge…
Existence and deformations of Kahler-Einstein metrics on smoothable Q-Fano varieties
Cristiano Spotti, Song Sun, Chengjian Yao
We prove the existence of Kahler-Einstein metrics on Q-Gorenstein smoothable, K-polystable Q-Fano varieties, and we show how these metrics behave, in the Gromov-Hausdorff sense, un…
The Continuity Method to Deform Cone Angle
Chengjian Yao
The continuity method is used to deform the cone angle of a weak conical Kähler-Einstein metric with cone singularities along a smooth anti-canonical divisor on a smooth Fano manif…
Existence of Weak Conical Kähler-Einstein Metrics Along Smooth Hypersurfaces
Chengjian Yao
The existence of \emph{weak conical Kähler-Einstein} metrics along smooth hypersurfaces with angle between and is obtained by studying a smooth continuity method and a \em…