Symmetries of flat rank two distributions and sub-Riemannian structures
Open Access
- 22 September 2003
- journal article
- Published by American Mathematical Society (AMS) in Transactions of the American Mathematical Society
- Vol. 356 (2) , 457-494
- https://doi.org/10.1090/s0002-9947-03-03342-7
Abstract
Flat sub-Riemannian structures are local approximations — nilpotentizations — of sub-Riemannian structures at regular points. Lie algebras of symmetries of flat maximal growth distributions and sub-Riemannian structures of rank two are computed in dimensions 3, 4, and 5.Keywords
This publication has 5 references indexed in Scilit:
- An intrinsic approach to the control of rolling bodiesPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2003
- Symmetries and Conservation Laws for Differential Equations of Mathematical PhysicsPublished by American Mathematical Society (AMS) ,1999
- Rolling bodies with regular surface: the holonomic caseProceedings of Symposia in Pure Mathematics, 1998
- Sub-Riemannian GeometryPublished by Springer Nature ,1996
- Les systèmes de Pfaff, à cinq variables et les équations aux dérivées partielles du second ordreAnnales Scientifiques de lʼÉcole Normale Supérieure, 1910