1 | Knows Lie groups and differential, reognizes Lie sub-algebra, matrix Lie groups and bundles. |
2 | Learns Riemannian metric of the reduced, vector forms, orthonormal roof on E'n. |
3 | Recognizes left-invariant forms on Lie groups, structure bundle of matrix Lie groups. |
4 | Knows the basic equations for roof bundles on E'n submanifolds, recognizes generalizations. |