Stratified Subcartesian Spaces
Differential Geometry
2008-06-02 v1
Abstract
We show that, if the family \cal{O} of orbits of all vector fields on a subcartesian space P is locally finite and each orbit in \cal{O} is locally closed, then \cal{O} defines a smooth Whitney A stratification of P. We also show that the stratification by orbit type of the space M/G of orbits of a proper action of a Lie group G on a smooth manifold M is given by orbits of the family of all vector fields on M/G.
Cite
@article{arxiv.0805.4807,
title = {Stratified Subcartesian Spaces},
author = {Lusala Tsasa and Jędrzej Śniatycki},
journal= {arXiv preprint arXiv:0805.4807},
year = {2008}
}
Comments
15 pages