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math.DG2024
Foliation of area minimizing hypersurfaces in asymptotically flat manifolds and Schoen's conjecture
Shihang He, Yuguang Shi, Haobin Yu
In this paper, we demonstrate that any asymptotically flat manifold with can be foliated by a family of area-minimizing hypersurfaces, each of which is a…
math.DG2024
Relative aspherical conjecture and higher codimensional obstruction to positive scalar curvature
Shihang He
Motivated by the solution of the aspherical conjecture up to dimension 5 [CL20][Gro20], we want to study a relative version of the aspherical conjecture. We present a natural condi…