6 citations · 41 across the 23 of their papers we have counts for
13 papers · 1 filter
Curvature at the infinity of asymptotically flat Einstein manifold
Bing Wang, Hao Yin
In this paper, we construct coordinates at the infinity of an asymptotically flat end of a Ricci-flat manifold as long as the norm of the curvature is finite i…
Uniqueness of Ricci flows from nonatomic Radon measures on Riemann surfaces
Peter M. Topping, Hao Yin
In previous work we established the existence of a Ricci flow starting with a Riemann surface coupled with a nonatomic Radon measure as a conformal factor. In this paper we prove u…
On the blow-up of Yang-Mills fields in dimension four
Hao Yin
In this paper, we study the blow-up of a sequence of Yang-Mills connection with bounded energy on a four manifold. We prove a set of equations relating the geometry of the bubble c…
Direct minimizing method for Yang-Mills energy over bundle
Hao Yin
In this paper, we use the direct minimizing method to find Yang-Mills connections for bundles over closed four manifolds. By constructing test connections, we prove that a…
Smoothing a measure on a Riemann surface using Ricci flow
Peter M. Topping, Hao Yin
We formulate and solve the existence problem for Ricci flow on a Riemann surface with initial data given by a Radon measure as volume measure. The theory leads us to a large class…
Higher order neck analysis of harmonic maps and its applications
Hao Yin
In this paper, we prove some refined estimate in the neck region when a sequence of harmonic maps from surfaces blow up. The new estimate allows us to see the shape of the center o…