- #1
sly7151
- 2
- 0
Hi folks. I am a mathematician and my research
is on the curvature equation
D(\gamma) = F
where \gamma is a Lie-algebra valued one-form and F is a Lie-algebra-valued 2-form.
I want a very
rough idea how fiber bundles and associated vector
bundles are used in physics. I've tried to read up on it, but most
of the stuff is too technical and I
just want sort of a bird's eye view of how they are used.
More specifically, I'd like to know if you guys ever look at vector bundles whose structure group is Nilpotent. The problem I am working on is when the base manifold is dimension 3 and the structure group is nilpotent.
is on the curvature equation
D(\gamma) = F
where \gamma is a Lie-algebra valued one-form and F is a Lie-algebra-valued 2-form.
I want a very
rough idea how fiber bundles and associated vector
bundles are used in physics. I've tried to read up on it, but most
of the stuff is too technical and I
just want sort of a bird's eye view of how they are used.
More specifically, I'd like to know if you guys ever look at vector bundles whose structure group is Nilpotent. The problem I am working on is when the base manifold is dimension 3 and the structure group is nilpotent.