Rough similarity of left-invariant Riemannian metrics on some Lie groups

We consider Lie groups that are either Heintze groups or Sol-type groups, which generalize the three-dimensional Lie group SOL. We prove that all left-invariant Riemannian metrics on each such a Lie group are roughly similar via the identity. This allows us to reformulate in a common framework forme...

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Hauptverfasser:	Donne, Enrico Le, Pallier, Gabriel, Xie, Xiangdong
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - Differential Geometry Mathematics - Geometric Topology Mathematics - Group Theory Mathematics - Metric Geometry
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