A vector bundle is a fibre bundle with the fibre a vector space,
or
. The structure group will be
.
Example: let dim(M)=m manifold be embedded in
. Then TM is a vector
bundle.
. There exists orthogonal vector space,
. This can be unioned
over p to get
source
psfile jl@crush.caltech.edu index
holomorphic_vector_bundle
associated_vector_bundle
holomorphic_line_bundle
splitting_principle
whitney_sum_bundle
Chern-Weil_theorem
tensor_product
null_section
line_bundle
chern_class