Arkiv för Matematik
Volume 56 (2018)
Fat sub-Riemannian symmetric spaces: the nilpotent case
Pages: 207 – 228
In this paper we start the classification of strongly bracket-generated sub-symmetric spaces. We prove a structure theorem and analyze the nilpotent case.
sub-Riemannian geometry, sub-symmetric space, fat distribution, two-step nilpotent Lie algebra
2010 Mathematics Subject Classification
This paper was written while the first author was a CAPES Posdoctoral fellow (Grant 6124/12-7) at Institut de Mathématiques d’Université Pierre et Marie Curie, Paris VI. She thanks L’équipe d’Analyse Complexe et Géométrie for their kind hospitality. The second author was supported in part by the ANR through the project Structure Géométriques et Triangulations.
Received 27 February 2016
Received revised 24 October 2017