Vector fields and differential forms on the orbit space of a proper action
Differential Geometry
2021-08-03 v1
Abstract
In this paper we study differential forms and vector fields on the orbit space of a proper action of a Lie group on a smooth manifold, defining them as multilinear maps on the generators of infinitesimal diffeomorphisms, respectively. This yields an intrinsic view of vector fields and differential forms on the orbit space.
Cite
@article{arxiv.2108.00280,
title = {Vector fields and differential forms on the orbit space of a proper action},
author = {Larry Bates and Richard Cushman and Jędrzej Śniatycki},
journal= {arXiv preprint arXiv:2108.00280},
year = {2021}
}