12 citations · 14 across the 4 of their papers we have counts for
4 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…
Regularity Theorems and Energy Identities for Dirac-Harmonic Maps
Qun Chen, Juergen Jost, Guofang Wang +1
We study a new set of coupled field equations motivated by the non-linear supersymmetric sigma model of quantum field theory. These equations couple a map into a Riemannian manifol…
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…