Ruobing Zhang

activity

20152026

most citedNilpotent structures and collapsing Ricci-flat metrics on K3 surfaces

24 citations · 82 across the 14 of their papers we have counts for

collaborators

Showing 2015Show all

3 papers · 1 filter

math.DG2015★ 5 cited

Non-local Curvature and Topology of Locally Conformally Flat Manifolds

Ruobing Zhang

In this paper, we focus on the geometry of compact conformally flat manifolds $(M^{n}, g)$ with positive scalar curvature. Schoen-Yau proved that its universal cover $(\widetilde{M^n}…

math.AP2015★ 8 cited

Direct Method of Moving Spheres on Fractional Order Equations

Wenxiong Chen, Yan Li, Ruobing Zhang

In this paper, we introduce a direct method of moving spheres for the nonlocal fractional Laplacian $(- △)^{α /2}$ for $0 < α < 2$ , in which a key ingredient is the narrow region…

math.DG2015★ 18 cited

Topology and ε-regularity Theorems on Collapsed Manifolds with Ricci Curvature Bounds

Aaron Naber, Ruobing Zhang

In this paper we discuss and prove $ε$ -regularity theorems for Einstein manifolds $(M^{n}, g)$ , and more generally manifolds with just bounded Ricci curvature, in the collapsed settin…