Vector Fields and Differential Forms on the Orbit Space of a Proper Action

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...

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Bibliographic Details
Main Authors: Larry Bates, Richard Cushman, Jędrzej Śniatycki
Format: Article
Language:English
Published: MDPI AG 2021-06-01
Series:Axioms
Subjects:
Online Access:https://www.mdpi.com/2075-1680/10/2/118