2 papers
math.DG2025
Limits of manifolds with boundary II
Takao Yamaguchi, Zhilang Zhang
In this paper, as a continuation of [34], we consider the Gromov-Hausdorff convergence and collapsing in the family of compact Riemannian manifolds with boundary satisfying lower b…
math.DG2024
Limits of manifolds with boundary I
Takao Yamaguchi, Zhilang Zhang
In this paper, we develop the infinitesimal geometry of the limit spaces of compact Riemannian manifolds with boundary, where we assume lower bounds on the sectional curvatures of…