Asymptotically isometric metrics on relatively hyperbolic groups and marked length spectrum

DOI10.1142/S1793525315500132zbMath1337.20047arXiv1311.0604OpenAlexW2963485798MaRDI QIDQ5252301

Koji Fujiwara

Publication date: 29 May 2015

Published in: Journal of Topology and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.0604

zbMATH Keywords

relatively hyperbolic groupsasymptotic metricsgroup actions by isometriesmarked length spectra

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Rigidity results (53C24) Asymptotic properties of groups (20F69) Hyperbolic groups and nonpositively curved groups (20F67) Isospectrality (58J53)

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Cites Work

• Projections and relative hyperbolicity.
• Geometry of locally compact groups of polynomial growth and shape of large balls
• Surfaces with the same marked length spectrum
• Le spectre marqué des longueurs des surfaces à courbure négative. (The spectrum marked by lengths of surfaces with negative curvature)
• Patterson-Sullivan measures on the boundary of a hyperbolic space in the sense of Gromov
• Entropy and rigidity of locally symmetric spaces of strictly negative curvature
• Hadamard spaces with isolated flats. (With an appendix written jointly with Mohamad Hindawi).
• Tree-graded spaces and asymptotic cones of groups. (With an appendix by Denis Osin and Mark Sapir).
• On pairs of metrics invariant under a cocompact action of a group
• Manifolds with non-positive curvature
• Group Actions On R-Trees
• On the rate of convergence to the asymptotic cone for nilpotent groups and subFinsler geometry
• Relatively hyperbolic groups

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