Ayato Mitsuishi

activity

20122024

most citedCollapsing three-dimensional closed Alexandrov spaces with a lower curvature bound

2 citations · 5 across the 6 of their papers we have counts for

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3 papers · 1 filter

math.DG2024★ 1 cited

Collapsing three-dimensional Alexandrov spaces with boundary

Ayato Mitsuishi, Takao Yamaguchi

As a continuation of [MY], we determine the topologies of collapsing three-dimensional compact Alexandrov spaces with nonempty boundary.

math.DG2023★ 1 cited

Lipschitz homotopy convergence of Alexandrov spaces II

Tadashi Fujioka, Ayato Mitsuishi, Takao Yamaguchi

We establish a quantitative version of the Lipschitz homotopy convergence introduced by Mitsuishi and Yamaguchi for a moduli space of compact Alexandrov spaces without collapsing.…

math.DG2019★ 1 cited

Certain min-max values related to the $p$ -energy and packing radii of Riemannian manifolds and metric measure spaces

Ayato Mitsuishi

Grosjean proved that the $(1/ p)$ -th power of the first eigenvalue of the $p$ -Laplacian on a closed Riemannian manifold converges to the twice of the inverse of the diameter of the…

Collapsing three-dimensional Alexandrov spaces with boundary

Lipschitz homotopy convergence of Alexandrov spaces II

Certain min-max values related to the p-energy and packing radii of Riemannian manifolds and metric measure spaces

Certain min-max values related to the $p$ -energy and packing radii of Riemannian manifolds and metric measure spaces