Open Access
October 2018 Fat sub-Riemannian symmetric spaces: the nilpotent case
D. M. Almeida, E. Falbel
Author Affiliations +
Ark. Mat. 56(2): 207-228 (October 2018). DOI: 10.4310/ARKIV.2018.v56.n2.a1

Abstract

In this paper we start the classification of strongly bracket-generated sub-symmetric spaces. We prove a structure theorem and analyze the nilpotent case.

Funding Statement

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.

Citation

Download Citation

D. M. Almeida. E. Falbel. "Fat sub-Riemannian symmetric spaces: the nilpotent case." Ark. Mat. 56 (2) 207 - 228, October 2018. https://doi.org/10.4310/ARKIV.2018.v56.n2.a1

Information

Received: 27 February 2016; Revised: 24 October 2017; Published: October 2018
First available in Project Euclid: 19 June 2019

zbMATH: 1408.53042
MathSciNet: MR3893771
Digital Object Identifier: 10.4310/ARKIV.2018.v56.n2.a1

Subjects:
Primary: 53C17

Keywords: fat distribution , sub-Riemannian geometry , sub-symmetric space , two-step nilpotent Lie algebra

Rights: Copyright © 2018 Institut Mittag-Leffler

Vol.56 • No. 2 • October 2018
Back to Top