Author:
Bates Larry,Cushman Richard,Śniatycki Jędrzej
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.
Subject
Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis
Reference19 articles.
1. Abstract covariant derivative;Sikorski;Colloq. Math.,1967
2. Wstęp do geometrii różniczkowej;Sikorski,1972
3. Subcartesian and subriemannian spaces;Aronszajn;Not. Am. Math. Soc.,1967
4. Differential Geometry of Singular Spaces and Reduction of Symmetry;Śniatycki,2013
5. On the Existence of Slices for Actions of Non-Compact Lie Groups
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献