3 papers
math.DG2026
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.DG2026
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…
math.DG2025
Inradius collapsed manifolds with a lower Ricci curvature bound
Zhangkai Huang, Takao Yamaguchi
In this paper, we study a family of -dimensional Riemannian manifolds with boundary having lower bounds on the Ricci curvatures of interior and boundary and on the second fundam…