Gaoming Wang
Gaoming Wang
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2024
2023
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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
PDF
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 …
Gaoming Wang
,
Xiaoxiang Chai
PDF
DOI
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 …
Gaoming Wang
,
Xiaoxiang Chai
PDF
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
PDF
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
PDF
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
PDF
DOI
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
PDF
Index of Embedded Networks in the Sphere
In this paper, we will compute the Morse index and nullity for the stationary embedded networks in spheres. The key theorem in the …
Gaoming Wang
PDF
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