What is the meaning of Cotangent bundle tensor product tangent bundle:
$T^*M\otimes TM$? what will an element of this space be?
2026-04-30 00:08:17.1777507697
Cotangent bundle tensor product tangent bundle
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This is isomorphic to $Hom(TM,TM)$. Namely it is the endomorphism bundle of the tangent bundle. In general given two vector spaces(or bundles) we have an isomorphism between $W \otimes V^*$ and $Hom(V,W)$.