Abstract
The surface theory in the equiaffine space R4 is developed on the basis of H. Weyl’s gauge theory. Rescaling of the Weyl geometry leads to a 1-parameter family of invariant transversal plane bundles containig former special constructions. A transversal bundle metric is gained via the notion of isotropy. The paper then proceeds with a general tensorial theory, including theorema egregium and Radon-type results and a discussion of cubic fundamental forms. Finally there is given an application to homogeneous surfaces.
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.
