Ayato Mitsuishi

activity

20122019

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

2 citations · 3 across the 2 of their papers we have counts for

collaborators

3 papers

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…

math.MG2016

Self and partial gluing theorems for Alexandrov spaces with a lower curvature bound

Ayato Mitsuishi

This paper is devoted to prove that if an Alexandrov space of curvature not less than $κ$ with a codimension one extremal subset which admits an isometric involution with respect t…

math.MG2012★ 2 cited

Collapsing three-dimensional closed Alexandrov spaces with a lower curvature bound

Ayato Mitsuishi, Takao Yamaguchi

In the present paper, we determine the topologies of three-dimensional closed Alexandrov spaces which converge to lower dimensional spaces in the Gromov-Hausdorff topology.

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

Self and partial gluing theorems for Alexandrov spaces with a lower curvature bound

Collapsing three-dimensional closed Alexandrov spaces with a lower curvature bound

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