Transverse Group Actions on Bundles

Authors

Ian M. Anderson, Utah State UniversityFollow
Mark E. Fels, Utah State UniversityFollow

Document Type

Article

Journal/Book Title/Conference

Topology and its Applications

Volume

123

Issue

3

Publication Date

2002

First Page

443

Last Page

459

Abstract

An action of a Lie group G on a bundle is said to be transverse if it is projectable and if the orbits of G on E are diffeomorphic under π to the orbits of G on M. Transverse group actions on bundles are completely classified in terms of the pullback bundle construction for G-invariant maps. This classification result is used to give a full characterization of the G invariant sections of E for projectable group actions.

Comments

Published by Elsevier in Topology and Its Applications. Author preprint available for download through link above.

Recommended Citation

Ian M. Anderson, Mark E. Fels, Transverse group actions on bundles, Topology and its Applications, Volume 123, Issue 3, 30 September 2002, Pages 443-459, ISSN 0166-8641, 10.1016/S0166-8641(01)00211-5.