No CrossRef data available.
Article contents
Parallel Translation in Vector Bundles with Abelian Structure Group and the Gauss-Bonnet Formula
Published online by Cambridge University Press: 20 November 2018
Extract
Most proofs for the classical Gauss-Bonnet formula use special coordinates, or other non-trivial preparations. Here, a simple proof is given, based on the fact that the structure group SO(2) of the tangent bundle of an oriented 2-dimensional Riemannian manifold is abelian. Since only this hypothesis is used, we prove a slightly more general result (Theorem 1).
- Type
- Research Article
- Information
- Copyright
- Copyright © Canadian Mathematical Society 1973