Calculating Induced Metric on Vector Bundle E

[math6]

hi friends,
Suppose we have a vector bundle E equipped with a hermitian metric h, and in a subbundle of E noted SE . I would like tocalculate explicitly the induced metric Sh defined on SE. How to proceed?

 

[Ben Niehoff]

It's the same as any other pullback...choose a basis of E and a basis of SE (they should be related by a projection), and do the usual thing.