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I've 2 qustions :

1.Calculus the tangent bundel TM and the cotangent bundles T*M like a bundles associates to the principal bundle B(M) of the reper of TM

2.If M has a riemannian structure set up the principale bundels B'(M) of orthonormal system of TM in case of M=S^2 , we can identify B'(M) to O^3

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# Homework Help: Principal bundles

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