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

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 10 Jun 2021Embargo end date: 01 Aug 2021 English Publisher:MDPI AGJournal:Axioms, volume 10, page 118 (eissn: 2075-1680,

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Authors: Bates, Larry; Cushman, Richard; Śniatycki, Jędrzej;

doi: 10.3390/axioms10020118 , 10.48550/arxiv.2108.00280

arXiv: 2108.00280

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

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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.

Related Organizations

University of Calgary
Canada

Keywords

Mathematics - Differential Geometry, 58A40, Differential Geometry (math.DG), QA1-939, FOS: Mathematics, proper action, vector field on orbit space, Mathematics, orbit space, differential forms on orbit space

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