Minimal Surfaces

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 …
Haizhong Li, Han Hong, 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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Dihedral rigidity in hyperbolic 3-space
We prove a comparison theorem for certain types of polyhedra in a 3-manifold with its scalar curvature bounded below by -6. The result …
Xiaoxiang Chai, 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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General Theory of Partial Differential Equations on Triple Junction Surfaces
We develop the fundamental tools from functional analysis and partial differential equations to study the geometric and analytic …
Gaoming Wang
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Curvature Estimates for Stable Minimal Surfaces with a Common Free Boundary
The minimal surfaces meeting in triples with equal angles along a common boundary naturally arise from soap films and other physical …
Gaoming Wang
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Curvature Estimates for Stable Minimal Surfaces with a Common Free Boundary
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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