Abstract
Abstract Let G be a compact Lie group. Previously (Section 2.8) the term G-vector bundle meant a vector bundle with group G as the structure group. It has another accepted meaning (used throughout the remainder of this text) when G acts on the base space of the vector bundle. In this case there are two groups to deal with, G and the structure group of the bundle. We shall deal exclusively with the structure groups SO(2) and SO(3). In this context, a G-vector bundle is a vector bundle (of dimension 2 or 3) with G acting to preserve the inner product and orientation, commuting with base projection, and mapping fibres directly to fibres (see [1]).
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
