From homogeneous metric spaces to Lie groups

Homogeneous spaces (22F30) Differential geometry of homogeneous manifolds (53C30) Nilpotent and solvable Lie groups (22E25) Asymptotic properties of groups (20F69)

Cites Work

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Metric geometry of locally compact groups
Sub-Riemannian structures on 3D Lie groups
Characterizing maximal compact subgroups
Geometry of locally compact groups of polynomial growth and shape of large balls
The homotopy types of compact Lie groups
Carnot-Carathéodory metrics and quasiisometries of symmetric spaces of rank 1
On maximal subgroups of real Lie groups
Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
Isometry groups on homogeneous nilmanifolds
Subelliptic estimates and function spaces on nilpotent Lie groups
Hypoelliptic differential operators and nilpotent groups
On the rigidity of discrete isometry groups of negatively curved spaces
Analysis on Lie groups with polynomial growth
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Besicovitch covering property on graded groups and applications to measure differentiation
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Conformal structure on the boundary and geodesic flow of a $\text{CAT}(-1)$-space
On the quasi-isometric and bi-Lipschitz classification of 3D Riemannian Lie groups
Isometries of nilpotent metric groups
Metric Lie groups admitting dilations
Metric equivalences of Heintze groups and applications to classifications in low dimension
On homogeneous manifolds of negative curvature
Contractive automorphisms on locally compact groups
The structure of compact groups. A primer for the student -- A handbook for the expert
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Locally compact groups
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On some types of topological groups
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Nonexistence of Quasiconformal Maps Between Certain Metric Measure Spaces
A smooth subadditive homogeneous norm on a homogeneous group
L'application exponentielle dans les groupes de Lie résolubles
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Croissance polynomiale et périodes des fonctions harmoniques
HOMOGENEOUS RIEMANNIAN SPACES OF NEGATIVE CURVATURE
Regularity properties of spheres in homogeneous groups
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Croissance des boules et des géodésiques fermées dans les nilvariétés
On sublinear bilipschitz equivalence of groups
On the commability and quasi-isometry classification of focal groups
A metric characterization of Carnot groups
G-Induced Flows
Strong Rigidity of Locally Symmetric Spaces. (AM-78)
Topology of Lie groups
Invariant Affine Connections on Homogeneous Spaces
Lie groups beyond an introduction
Covering group theory for topological groups

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