Source: wikibot/double-tangent-bundle
= Double tangent bundle
{wiki=Double_tangent_bundle}
The double tangent bundle is a mathematical construction in differential geometry that generalizes the notion of tangent bundles. To understand the double tangent bundle, we first need to comprehend what a tangent bundle is. \#\#\# Tangent Bundle For a smooth manifold \\( M \\), the tangent bundle \\( TM \\) is a vector bundle that consists of all tangent vectors at every point on the manifold.