5 papers
On the ends of Willmore surfaces with curvature decay
Yuxiang Li, Hao Yin
For a properly embedded Willmore surface in , we prove that if the scale-invariant second fundamental form is sufficiently small near infinity, the surface has fin…
The Yang-Mills equation near instanton-anti-instanton configurations
Alex Waldron, Hao Yin
We study the question of whether a sequence of non-instanton Yang-Mills connections can limit to a bubbling configuration composed only of instantons. In the case that the Uhlenbec…
On the blow-up of harmonic maps from surfaces to homogeneous manifolds
Hongcan Qian, Hao Yin
We study harmonic map sequences from surfaces to compact homogeneous spaces. For sequences developing a single bubble, we derive refined asymptotic expansions in the neck region an…
3-circle Theorem for Willmore surfaces II--degeneration of the complex structure
Yuxiang Li, Hao Yin, Jie Zhou
We study the compactness of Willmore surfaces without assuming the convergence of the induced complex structures. In particular, we compute the energy loss in the neck in terms of…
3-circle Theorem for Willmore surface I
Yuxiang Li, Hao Yin
In this paper, we study the blow-up of Willmore surfaces. By using the 3-circle theorem, we prove a decay estimate of the second fundamental form along the neck region. This estima…