20 citations · 31 across the 6 of their papers we have counts for
5 papers · 1 filter
The log term of Szego Kernel
Zhiqin Lu, Gang Tian
In this paper, we study the relations between the log term of the Szegö kernel of the unit circle bundle of the dual line bundle of an ample line bundle over a compact Kählermanifo…
On the uniqueness of the foliation of spheres of constant mean curvature in asymptotically flat 3-manifolds
Jie Qing, Gang Tian
In this note we study constant mean curvature surfaces in asymptotically flat 3-manifolds. We prove that, in an asymptotically flat 3-manifold with positive mass, stable spheres of…
Geometry and nonlinear analysis
Gang Tian
Nonlinear analysis has played a prominent role in the recent developments in geometry and topology. The study of the Yang-Mills equation and its cousins gave rise to the Donaldson…
A singularity removal theorem for Yang-Mills fields in higher dimensions
Terence Tao, Gang Tian
In four and higher dimensions, we show that any stationary admissible Yang-Mills field can be gauge transformed to a smooth field if the norm of the curvature is sufficiently…
Compactification of the moduli spaces of vortices and coupled vortices
Gang Tian, Baozhong Yang
Vortices and coupled vortices arise from Yang-Mills-Higgs theories and can be viewed as generalizations or analogues to Yang-Mills connections and, in particular, Hermitian-Yang-Mi…