4 papers
math.DG2021
Quantization for biharmonic maps from non-collapsed degenerating Einstein 4-manifolds
Youmin Chen, Miaomiao Zhu
For a sequence of extrinsic or intrinsic biharmonic maps from a sequence of non-collapsed degenerating closed Einstein 4-manifolds with bounded…
math.DG2018
On the blow-up formula of twisted de Rham cohomology
Youming Chen, Song Yang
We derive a blow-up formula for the de Rham cohomology of a local system of complex vector spaces on a compact complex manifold. As an application, we obtain the blow-up invariance…
math.AP2018
Uniqueness of tangent cone for biharmonic map with isolated singularity
Youmin Chen, Hao Yin
In this paper, we study the problem of uniqueness of tangent cone for minimizing extrinsic biharmonic maps. Following the celebrated result of Simon, we prove that if the target ma…
math.AP2018
On expansions of Ricci flat ALE metrics in harmonic coordinates about the infinity
Youmin Chen
In this paper, we study the expansions of Ricci flat metrics in harmonic coordinates about the infinity of ALE (asymptotically local Euclidean) manifolds.