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Results tagged with fibre-bundles
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user 157138
for questions about fiber bundles, including structure groups, principal bundles, and spaces of sections.
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On the smoothness of transition functions
Let $p:E \longrightarrow M$ be a smooth fibre bundle, with standard fibre space $F$ and $G$ a Lie group acting effectively on $F$ as a structure group.
Then, are the transition functions always smoot …
- 25.3k
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Connection as a jet section [closed]
Let $\pi:E\longrightarrow M$ a smooth fibre bundle. A connection is a linear bundle homomorphism $\Phi:TE\longrightarrow TE$ such that $\Phi$ is a projection to the vertical bundle $VE\subset TE$.
I r …
- 63.9k