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1 Let A → N, B → N be two vector bundles over a manifold N. How to show that there is a vector bundle Hom(A, B) whose fiber above x ∈ N is Hom(A, B)x := Hom(Ax, Bx)?
2 Let A → N, B → N be two vector bundles over a manifold N. Let C∞(A, B) denote the space of maps of vector bundles from A to B. How to show that C∞(A, B) is a C∞(N)-module?
Could you give me some ideas or reference ? Thank you!
2 Let A → N, B → N be two vector bundles over a manifold N. Let C∞(A, B) denote the space of maps of vector bundles from A to B. How to show that C∞(A, B) is a C∞(N)-module?
Could you give me some ideas or reference ? Thank you!