On the speed of convergence to the asymptotic cone for non-singular nilpotent groups

DOI10.1007/s10711-021-00661-8OpenAlexW2917634111MaRDI QIDQ2114366

Kenshiro Tashiro

Publication date: 15 March 2022

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.10996

zbMATH Keywords

asymptotic conesnilpotent groupsabnormal curvessub-Finsler geometry

Mathematics Subject Classification ID

Nilpotent groups (20F18) Sub-Riemannian geometry (53C17)

Cites Work

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• Geometry of locally compact groups of polynomial growth and shape of large balls
• Gromov's theorem on groups of polynomial growth and elementary logic
• Asymptotic properties of the Heisenberg group
• Can One Hear the Shape of a Group?
• Fine asymptotic geometry in the Heisenberg group
• Minimal geodesics
• Regularity properties of spheres in homogeneous groups
• On the Asymptotics of the Growth of 2-Step Nilpotent Groups
• Croissance des boules et des géodésiques fermées dans les nilvariétés
• On the rate of convergence to the asymptotic cone for nilpotent groups and subFinsler geometry

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