320 citations · 844 across the 35 of their papers we have counts for
13 papers · 1 filter
The Yang-Mills α-flow in vector bundles over four manifolds and its applications
Min-Chun Hong, Gang Tian, Hao Yin
In this paper, we introduce an α-flow for the Yang-Mills functional in vector bundles over four dimensional Riemannian manifolds, and establish global existence of a unique smooth…
Orientability and real Seiberg-Witten invariants
Gang Tian, Shuguang Wang
We investigate Seiberg-Witten theory in the presence of real structures. Certain conditions are obtained so that integer valued real Seiberg-Witten invariants can be defined. In ge…
Geometric Structures of Collapsing Riemannian Manifolds I
Aaron Naber, Gang Tian
Let (M^n_i,g_i,p_i) be a sequence of smooth pointed complete n-dimensional Riemannian Manifolds with uniform bounds on the sectional curvatures and let (X,d,p) be a metric space su…
Translating solutions to Lagrangian mean curvature flow
André Neves, Gang Tian
We prove some non-existence theorems for translating solutions to Lagrangian mean curvature flow. More precisely, we show that translating solutions with an bound on the mean…
Existence and Uniqueness of constant mean curvature foliation of asymptotically hyperbolic 3-manifolds II
Andre Neves, Gang Tian
In a previous paper, the authors showed that metrics which are asymptotic to Anti-de Sitter-Schwarzschild metrics with positive mass admit a unique foliation by stable spheres with…
Existence and Uniqueness of constant mean curvature foliation of asymptotically hyperbolic 3-manifolds
André Neves, Gang Tian
We prove existence and uniqueness of foliations by stable spheres with constant mean curvature for 3-manifolds which are asymptotic to Anti-de Sitter-Schwarzschild metrics with pos…