11 citations · 25 across the 20 of their papers we have counts for
6 papers · 1 filter
Biconservative hypersurfaces with constant scalar curvature in space forms
Yu Fu, Min-Chun Hong, Dan Yang +1
Biconservative hypersurfaces are hypersurfaces which have conservative stress-energy tensor with respect to the bienergy, containing all minimal and constant mean curvature hypersu…
The gauge fixing theorem with applications to the Yang-Mills flow over Riemannian manifolds
Min-Chun Hong
In 1982, Uhlenbeck \cite {U2} established the well-known gauge fixing theorem, which has played a fundamental role for Yang-Mills theory. In this paper, we apply the idea of Uhlenb…
The energy identity for a sequence of Yang-Mills α-connections
Min-Chun Hong, Lorenz Schabrun
We prove that the Yang-Mills -functional satisfies the Palais-Smale condition. This guarantees the existence of critical points, which are called Yang-Mills -connections. It…
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…
Global Existence for the Seiberg-Witten Flow
Min-Chun Hong, Lorenz Schabrun
We introduce the gradient flow of the Seiberg-Witten functional on a compact, orientable Riemannian 4-manifold and show the global existence of a unique smooth solution to the flow…
Curvature flow to Nirenberg problem
Li Ma, Minchun Hong
In this note, we study the curvature flow to Nirenberg problem on with non-negative nonlinearity. This flow was introduced by Brendle and Struwe. Our result is that the Niren…