10 citations · 11 across the 4 of their papers we have counts for
4 papers
Inverse Spectral Problems for Collapsing Manifolds II: Quantitative Stability of Reconstruction for Orbifolds
Matti Lassas, Jinpeng Lu, Takao Yamaguchi
We consider the inverse problem of determining the metric-measure structure of collapsing manifolds from local measurements of spectral data. In the part I of the paper, we proved…
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.
Two-dimensional metric spaces with curvature bounded above II
Koichi Nagano, Takashi Shioya, Takao Yamaguchi
As a continuation of \cite{NSY:local}, we mainly discuss the global structure of two-dimensional locally compact geodesically complete metric spaces with curvature bounded above. W…
Collapsing and essential coverings
Takao Yamaguchi
In the present paper, we consider the family of all compact Alexandrov spaces with curvature bound below having a definite upper diameter bound of a fixed dimension. We introduce t…