Tangent bundles to sub-Riemannian groups

Abstract

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 modified according to the contributions of the other participants to the Borel Seminar. The current version can be downloaded at http://irmi.epfl.ch/cag/buliga_sr.html . All comments are welcomed.

70 pages, updated version of my talks in the Borel Seminar 2003, "Tangent spaces to metric spaces"

References in corpus (1)

• Sub-Riemannian geometry and Lie groups. Part I

Cited by in corpus (10)

• Dilatation structures in sub-riemannian geometry
• Braided spaces with dilations and sub-riemannian symmetric spaces
• Curvature of sub-Riemannian spaces
• Contractible groups and linear dilatation structures
• Sub-Riemannian geometry and Lie groups. Part II. Curvature of metric spaces, coadjoint orbits and associated representations
• Infinitesimal affine geometry of metric spaces endowed with a dilatation structure
• What is a space? Computations in emergent algebras and the front end visual system
• Maps of metric spaces
• Sub-riemannian geometry from intrinsic viewpoint
• Dilatation structures II. Linearity, self-similarity and the Cantor set