Flat bundles with solvable holonomy
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- by William M. Goldman and Morris W. Hirsch PDF
- Proc. Amer. Math. Soc. 82 (1981), 491-494 Request permission
Abstract:
Let $G$ be a solvable linear Lie group. We show that for every flat principal $G$-bundle $\xi$ over a CW-complex $M$, there is a finite-sheeted covering space $p:\hat M \to M$ such that ${p^ * }\xi$ is trivial as a principal $G$-bundle. This result is used to show that every affine manifold with solvable fundamental group has a finite covering which is parallelizable.References
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Additional Information
- © Copyright 1981 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 82 (1981), 491-494
- MSC: Primary 57R15; Secondary 55R15, 57R22
- DOI: https://doi.org/10.1090/S0002-9939-1981-0612747-0
- MathSciNet review: 612747