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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Center of mass and $ G$-local triviality of $ G$-bundles


Author: Karsten Grove
Journal: Proc. Amer. Math. Soc. 54 (1976), 352-354
DOI: https://doi.org/10.1090/S0002-9939-1976-0394712-2
MathSciNet review: 0394712
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Abstract: Riemannian geometry techniques are used to give a short and constructive proof that a differentiable $ G$-fibre bundle with compact fibre is $ G$-locally trivial when $ G$ is a compact Lie Group.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1976-0394712-2
Keywords: $ G$-bundle, $ G$-triviality, center of mass, almost constant map, curvature
Article copyright: © Copyright 1976 American Mathematical Society