Differential geometry MOC

Cotangent bundle

Let be a -manifold. The cotangent bundle is a vector bundle of all cotangent spaces of , diff so as a set

with the -structure of the dual vector bundle of the tangent bundle.

Sheaf theory

There is an alternative Sheaf-theoretic construction in terms of the diagonal morphism.

A smooth section of the tangent bundle is called a 1-form. A general Differential form is a smooth section of the Exterior algebra bundle .

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