Asymptotic cones of Lie groups and cone equivalences

zbMath1268.22005arXiv0907.2546MaRDI QIDQ1928904

Yves De Cornulier

Publication date: 4 January 2013

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0907.2546

zbMATH Keywords

Lie groupsasymptotic conesbi-Lipschitz equivalencecone equivalence

Mathematics Subject Classification ID

Nilpotent and solvable Lie groups (22E25) Special maps on metric spaces (54E40) General properties and structure of real Lie groups (22E15)

Related Items (11)

Metric equivalences of Heintze groups and applications to classifications in low dimension ⋮ On the logarithmic coarse structures of Lie groups and hyperbolic spaces ⋮ Geometric presentations of Lie groups and their Dehn functions ⋮ Cone‐equivalent nilpotent groups with different Dehn functions ⋮ LARGE-SCALE SUBLINEARLY LIPSCHITZ GEOMETRY OF HYPERBOLIC SPACES ⋮ Sublinear quasiconformality and the large-scale geometry of Heintze groups ⋮ Holomorphic functions of exponential type on connected complex Lie groups ⋮ The large-scale geometry of locally compact solvable groups ⋮ Translation-like actions of nilpotent groups ⋮ Gradings on Lie algebras, systolic growth, and cohopfian properties of nilpotent groups ⋮ Integrable measure equivalence for groups of polynomial growth

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