Refine my results

On the quasi-isometric and bi-Lipschitz classification of 3D Riemannian Lie groups

Fässler, Katrin ; Donne, Enrico Le

In: Geometriae Dedicata, 2020, p. -

This note is concerned with the geometric classification of connected Lie groups of dimension three or less, endowed with left-invariant Riemannian metrics. On the one hand, assembling results from the literature, we give a review of the complete classification of such groups up to quasi-isometries and we compare the quasi- isometric classification with the bi-Lipschitz classification. On the...