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A splitting theorem for manifolds with spectral nonnegative Ricci curvature and mean-convex boundary
We prove a splitting theorem for a smooth noncompact manifold with (possibly noncompact) boundary. We show that if a noncompact …
Han Hong, Gaoming Wang
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Scalar curvature rigidity of domains in a 3-dimensional warped product
A warped product with a spherical factor and a logarithmically concave warping function satisfies a scalar curvature rigidity of the …
Xiaoxiang Chai, Gaoming Wang
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A splitting theorem for 3-manifold with nonnegative scalar curvature and mean-convex boundary
We show that a Riemannian 3-manifold with nonnegative scalar curvature and mean-convex boundary is flat if it contains an absolutely …
Han Hong, Gaoming Wang
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On $\delta$-Stable Minimal Hypersurfaces in $\mathbb{R}^{n+1}$
In this paper, we extend several results established for stable minimal hypersurfaces to $\delta$-stable minimal hypersurfaces. These …
Han Hong, Haizhong Li, Gaoming Wang
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Allard-Type Regularity for Varifolds with Prescribed Contact Angle
Given a bounded $C^2$ domain in $\mathbb{R}^{n+1}$ and an integral $n$-rectifiable varifold $V$ with bounded first variation and …
Gaoming Wang
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Scalar curvature comparison of rotationally symmetric sets
Suppose $M$ is a rotationally symmetric convex set in $\mathbb{R}^3$ with two different metric $g$ and $\delta$ (the standard Euclidean …
Xiaoxiang Chai, Gaoming Wang
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Scalar curvature comparison of rotationally symmetric sets
Generalized Bernstein Theorem for Stable Minimal Plateau Surfaces
In this paper, we consider a Generalized Bernstein Theorem for a type of generalized minimal surfaces, namely minimal Plateau surfaces. …
Gaoming Wang
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Uniformization of surfaces with boundary and the application to the triple junction surfaces with negative Euler characteristic
The conformal structure on minimal surfaces plays a key role in studying the properties of minimal surfaces. Here we extend the results …
Gaoming Wang
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