2 citations · 2 across the 10 of their papers we have counts for
12 papers
Scalar-mean rigidity theorem and Llarull's theorem for nonspin manifolds
Gaoming Wang, Jinmin Wang, Zhizhang Xie +1
We prove Llarull's scalar curvature rigidity theorem for spheres and scalar-mean rigidity for strictly convex Euclidean domains in all dimensions without the spin assumption.
The stable Bernstein theorem in
Han Hong, Haizhong Li, Gaoming Wang
We give a Green-function proof of the stable Bernstein theorem in for smooth, connected, complete, two-sided minimal hypersurface, thus resolving the last case in sta…
Mixed Radial Volume Comparison under Spectral Ricci Bounds
Han Hong, Gaoming Wang
Let be complete, let , and assume . We introduce mixed radial balls associated with the conformal metric …
Regularity of branched stable minimal immersed hypersurfaces
Gaoming Wang, Xuwen Zhang
We establish a sharp bound on the Hausdorff dimension of the non-branch singular set of branched stable minimal immersed hypersurfaces whose singular sets have locally finite $\mat…
Stable Minimal Hypersurfaces in Positively Curved -Manifolds
Han Hong, Gaoming Wang
Let be a complete, connected, two-sided stable minimal immersion. We prove that if the ambient sectional curvature is nonnegative and the ambient scalar curvature has…
Spectral splitting theorem and ends of minimal hypersurfaces
Han Hong, Gaoming Wang
In this paper, we give a new proof of the splitting theorem on manifolds with nonnegative spectral Ricci curvature proved in [APX24, CMMR24, HW26]. Furthermore, by constructing wei…
Regularity of stable capillary minimal hypersurfaces
Gaoming Wang, Xuwen Zhang
We develop a regularity and compactness theory for stable capillary minimal hypersurfaces in the half-space with contact angle and dimension $n \geq…
Scalar curvature rigidity of domains in a 3-dimensional warped product
Xiaoxiang Chai, Gaoming Wang
A warped product with a spherical factor and a logarithmically concave warping function satisfies a scalar curvature rigidity of the Llarull type. We develop a scalar curvature rig…
A splitting theorem for manifolds with spectral nonnegative Ricci curvature and mean-convex boundary
Han Hong, Gaoming Wang
We prove a splitting theorem for a smooth noncompact manifold with (possibly noncompact) boundary. We show that if a noncompact manifold of dimension has $λ_1(-αΔ+\operat…
A splitting theorem for 3-manifold with nonnegative scalar curvature and mean-convex boundary
Han Hong, Gaoming Wang
We show that a Riemannian 3-manifold with nonnegative scalar curvature and mean-convex boundary is flat if it contains an absolutely area-minimizing (in the free boundary sense) ha…
On -Stable Minimal Hypersurfaces in
Han Hong, Haizhong Li, Gaoming Wang
In this paper, we extend several results established for stable minimal hypersurfaces to -stable minimal hypersurfaces. These include the regularity and compactness theorems for…
Allard-Type Regularity for Varifolds with Prescribed Contact Angle
Gaoming Wang
Given a bounded domain in and an integral -rectifiable varifold with bounded first variation and bounded generalized mean curvature. Given a f…