5 papers · 1 filter
Capillary prisms, Coxeter gluing, and the -systole of 3-manifolds with positive scalar curvature
Shihang He, Chao Li
We study the -systole of positive scalar curvature -manifolds via a local-to-global approach. The tessellated local building blocks are capillary prisms : Riemannian cyl…
A proof for the Riemannian positive mass theorem up to dimension 19
Yuchen Bi, Tianze Hao, Shihang He +2
In this paper, we prove the Riemannian positive mass theorem up to dimension , building on a combination of torical symmetrization and the singularity blow-up technique develop…
Foliation of area-minimizing hypersurfaces in asymptotically flat manifolds of higher dimension
Shihang He, Yuguang Shi, Haobin Yu
We prove the existence of foliations by area-minimizing hypersurfaces in asymptotically flat (AF) manifolds with arbitrary dimension and arbitrary ends. Also we provide behaviors o…
Singularity removal rigidity theorems for minimal hypersurfaces in manifolds with nonnegative scalar curvature
Shihang He, Yuguang Shi, Haobin Yu
We prove two "Singularity removal rigidity theorems" for minimal hypersurfaces with isolated singularities in manifolds of nonnegative scalar curvature (Theorems \ref{thm: rigidity…
Finite generation of Noether-Lefschetz divisors and the slope of the moduli space of cubic fourfolds
Ignacio Barros, Shi He, Paul Kiefer
We study divisors on moduli spaces of cubic fourfolds with simple singularities and of quasi-polarized K3 surfaces of degree . For the moduli space of cubic fourfolds, we intro…