induced metric

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.

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math6	induced metric Tweet 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 Recognitions: Science Advisor	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.