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Forums
Mathematics
Differential Geometry
Tangent Bundle of Product is diffeomorphic to Product of Tangent Bundles
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[QUOTE="Amateur659, post: 6597197, member: 698621"] My apologies if this question is trivial. I have searched the forum and haven't found an existing answer to this question. I've been working through differential geometry problem sets I found online (associated with MATH 481 at UIUC) and am struggling to show that T(MxN) is diffeomorphic to TM x TN. My intuition is that I could set up the product of projection maps from MxN to M and MxN to N to form the diffeomorphism. However, I seem to be stuck on the implementation (which probably indicates gaps in my understanding of previous material). Thanks for your assistance. [/QUOTE]
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Forums
Mathematics
Differential Geometry
Tangent Bundle of Product is diffeomorphic to Product of Tangent Bundles
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