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math.DG2023
Filling Radius, Quantitative -theory and Positive Scalar Curvature
Jinmin Wang, Zhizhang Xie, Guoliang Yu +1
We prove a quantitative upper bound on the filling radius of complete, spin manifolds with uniformly positive scalar curvature using the quantitative operator -theory and index…
math.DG2023★ 1 cited
Scalar curvature rigidity of degenerate warped product spaces
Jinmin Wang, Zhizhang Xie
In this paper we prove the scalar curvature extremality and rigidity for a class of warped product spaces that are possibly degenerate at the two ends. The leaves of these warped p…
math.DG2023★ 1 cited
Dihedral rigidity for submanifolds of warped product manifolds
Jinmin Wang, Zhizhang Xie
In this paper, we prove a dihedral extremality and rigidity theorem for a large class of codimension zero submanifolds with polyhedral boundary in warped product manifolds. We rema…