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Article
Transverse Group Actions on Bundles
Topology and its Applications
  • Ian M. Anderson, Utah State University
  • Mark E. Fels, Utah State University
Document Type
Article
Publication Date
1-1-2002
Disciplines
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.

Citation Information
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.