Results 1 to 10 of about 159 (44)
Chordal Hausdorff Convergence and Quasihyperbolic Distance
Analysis and Geometry in Metric Spaces, 2020 We study Hausdorff convergence (and related topics) in the chordalization of a metric space to better understand pointed Gromov-Hausdorff convergence of quasihyperbolic distances (and other conformal distances).
Herron David A. +2 more
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Gromov-Hausdorff limits of closed surfaces
Analysis and Geometry in Metric SpacesWe completely describe the Gromov-Hausdorff closure of the class of length spaces being homeomorphic to a fixed closed surface.
Dott Tobias
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A non-geodesic analogue of Reshetnyak’s majorization theorem
Analysis and Geometry in Metric Spaces, 2023 For any real number κ\kappa and any integer n≥4n\ge 4, the Cycln(κ){{\rm{Cycl}}}_{n}\left(\kappa ) condition introduced by Gromov (CAT(κ)-spaces: construction and concentration, Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 280 (2001)
Toyoda Tetsu
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Branching Geodesics of the Gromov-Hausdorff Distance
Analysis and Geometry in Metric Spaces, 2022 In this paper, we first evaluate topological distributions of the sets of all doubling spaces, all uniformly disconnected spaces, and all uniformly perfect spaces in the space of all isometry classes of compact metric spaces equipped with the Gromov ...
Ishiki Yoshito
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Analysis and Geometry in Metric Spaces, 2021 We extend the classical Carathéodory extension theorem to quasiconformal Jordan domains (Y, dY). We say that a metric space (Y, dY) is a quasiconformal Jordan domain if the completion ̄Y of (Y, dY) has finite Hausdorff 2-measure, the boundary ∂Y = ̄Y \ Y
Ikonen Toni
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An Intrinsic Characterization of Five Points in a CAT(0) Space
Analysis and Geometry in Metric Spaces, 2020 Gromov (2001) and Sturm (2003) proved that any four points in a CAT(0) space satisfy a certain family of inequalities. We call those inequalities the ⊠-inequalities, following the notation used by Gromov.
Toyoda Tetsu
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Alternative proofs for Kocik's geometric diagram for relativistic velocity addition [PDF]
, 2015 A geometric construction for the Poincar´e formula for relativistic addition of velocities in one dimension was given by Jerzy Kocik in Geometric Diagram for Relativistic Addition of Velocities, American Journal of Physics, volume 80, page 737, 2012 ...
Sasane, Amol, Ufranovski, Victor
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Distance Bounds for Graphs with Some Negative Bakry-Émery Curvature
Analysis and Geometry in Metric Spaces, 2019 We prove distance bounds for graphs possessing positive Bakry-Émery curvature apart from an exceptional set, where the curvature is allowed to be non-positive.
Liu Shiping +3 more
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Embeddings of locally finite metric spaces into Banach spaces
, 2007 We show that if X is a Banach space without cotype, then every locally finite metric space embeds metrically into X.Comment: 6 pages, to appear in Proceedings of the ...
Baudier, Florent, Lancien, Gilles
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Bounded turning circles are weak-quasicircles [PDF]
, 2010 11 pages, 1 figure, to appear in Proc. AMSWe show that a metric Jordan curve $\Gamma$ is \emph{bounded turning} if and only if there exists a \emph{weak-quasisymmetric} homeomorphism $\phi\colon \mathsf{S}^1 \to \Gamma$.Peer ...
Meyer, Daniel
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