inria-00194528, version 2
Generation properties of Maurer-Cartan invariants
Evelyne Hubert
a, 1, 2
Abstract: For the action of a Lie group, which can be given by its infinitesimal generators only, we characterize a generating set of differential invariants of bounded cardinality and show how to rewrite any other differential invariants in terms of them. Those invariants carry geometrical significance and have been used in equivalence problem in differential geometry.
- a – INRIA
- 1: INRIA Sophia Antipolis (INRIA Sophia Antipolis)
- INRIA
- 2: GALAAD (INRIA Sophia Antipolis)
- INRIA – CNRS : UMR6621 – Université de Nice Sophia Antipolis (UNS)
- Domain : Computer Science/Symbolic Computation
Mathematics/Differential Geometry - Keywords : Lie group actions – Differential invariants – Moving frame – Maurer-Cartan forms
- Available versions : v1 (2007-12-06) v2 (2007-12-10)
- inria-00194528, version 2
- http://hal.inria.fr/inria-00194528
- oai:hal.inria.fr:inria-00194528
- From: Evelyne Hubert
- Submitted on: Monday, 10 December 2007 15:31:08
- Updated on: Tuesday, 24 March 2009 08:52:30
Associated documents
Export