connection on a fiber bundle
C45572
concept
A connection on a fiber bundle is a geometric structure that specifies how to consistently differentiate or "transport" fibers along paths in the base space, thereby splitting motions into horizontal and vertical components.
Observed surface forms (2)
- matrix-valued Berry connection ×1
- projectively flat connection ×1
Instances (3)
- Ehresmann connection
- Hitchin connection via concept surface "projectively flat connection"
- non-Abelian Berry connection via concept surface "matrix-valued Berry connection"