12 citations · 18 across the 4 of their papers we have counts for
8 papers
Solutions for Toda systems on Riemann surfaces
Jiayu Li, Yuxiang Li
In this paper, we study the solutions of Toda systems on Riemann surface in the critical case, we prove a sufficient condition for the existence of solutions of Toda systems.
Dirac-Harmonic Maps
Qun Chen, Juergen Jost, Jiayu Li +1
We introduce a functional that couples the nonlinear sigma model with a spinor field: $L=\int_M[|dϕ|^2+(ψ,\Dψ)]$. In two dimensions, it is conformally invariant. The critical point…
The mean curvature flow approach to the symplectic isotopy problem
Xiaoli Han, Jiayu Li
Let be a Kähler-Einstein surface with positive scalar curvature. If the initial surface is sufficiently close to a holomorphic curve, we show that the mean curvature flow has a…
Singularities of codimension two mean curvature flow of symplectic surfaces
Jingyi Chen, Jiayu Li
We prove that for a mean curvature flow of a compact symplectic surface in a compact Kaehler-Einstein surface, the tangent cone at the first blow-up time consists of a finite union…
Harmonic bundles on quasi-compact Kaehler manifolds
Juergen Jost, Jiayu Li, Kang Zuo
We define the C^*-action on moduli spaces of reductive representations of fundamental groups of quasi-compact Kaehler manifolds by solving Hermitian-Yang-Mills equation. As applica…
Harmonic Hopf Constructions Between Spheres II
Weiyue Ding, Huijun Fan, Jiayu Li
We prove that a necessary condition for the existence of the remaining problem in the harmonic Hopf construction is also sufficient. We also give some topological applications base…