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Mathematics
Differential Geometry
Transition Functions and Lie Groups
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[QUOTE="knowwhatyoudontknow, post: 6474779, member: 678385"] I understand that on Riemannian manifolds, the transition functions that glue charts together are coordinate transformations (Jacobian matrices). However, I am not quite sure how transition functions work in the context of Lie groups and Fiber bundles. Do we consider the manifolds to be flat and glue the charts together with elements of the Lie group whose actions represent coordinate translations? On the other hand, if the manifold is flat, why do we need to consider more than a single chart? [/QUOTE]
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Transition Functions and Lie Groups
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