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math.DG2024
Scalar curvature comparison of rotationally symmetric sets
Xiaoxiang Chai, Gaoming Wang
Let be a compact 3-manifold with nonnegative scalar curvature . The boundary is diffeomorphic to the boundary of a rotationally symmetric and weakl…
math.DG2024
Index of Embedded Networks in the Sphere
Gaoming Wang
In this paper, we will compute the Morse index and nullity for the stationary embedded networks in spheres. The key theorem in the computation is that the index (and nullity) for t…