Source: wikibot/cotangent-bundle
= Cotangent bundle
{wiki=Cotangent_bundle}
The cotangent bundle is a fundamental construction in differential geometry and symplectic geometry. It is particularly important in the study of manifolds and classical mechanics. Given a smooth manifold \\( M \\), the cotangent bundle, denoted \\( T^*M \\), is the vector bundle whose fibers at each point consist of the cotangent vectors (or covectors) at that point.