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for questions about fiber bundles, including structure groups, principal bundles, and spaces of sections.

1 vote
0 answers
343 views

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 …
alexpglez98's user avatar
1 vote
2 answers
363 views

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 …
alexpglez98's user avatar