if "h" is a closed subgroup of "g", then there is a natural one-to-one correspondence between reductions of a "g"-bundle "b" to "h" and global sections of the fiber bundle "b"/"h" obtained by quotienting "b" by the right action of "h". specifically, the fibration "b" → "b"/"h" is a principal "h"-bundle over "b"/"h". if σ : "x" → "b"/"h" is a section, then the pullback bundle "b" = σ"b" is a reduction of "b".