336 citations
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math.MG2004★ 5 cited
Sub-Riemannian geometry and Lie groups. Part II. Curvature of metric spaces, coadjoint orbits and associated representations
Marius Buliga
This paper is the third in a series dedicated to the fundamentals of sub-Riemannian geometry and its implications in Lie groups theory: "Sub-Riemannian geometry and Lie groups. Par…
math.MG2003★ 6 cited
Curvature of sub-Riemannian spaces
Marius Buliga
To any metric spaces there is an associated metric profile. The rectifiability of the metric profile gives a good notion of curvature of a sub-Riemannian space. We shall say that a…
math.MG2003★ 17 cited
Tangent bundles to sub-Riemannian groups
Marius Buliga
This paper is about non-Euclidean analysis on Lie groups endowed with left invariant distributions, seen as sub-Riemannian manifolds. This is a an updated version, which will be mo…