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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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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
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Index of Embedded Networks in the Sphere
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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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