Source: wikibot/unit-tangent-bundle
= Unit tangent bundle
{wiki=Unit_tangent_bundle}
The unit tangent bundle is a fundamental concept in differential geometry and is used in the study of manifolds, particularly in the context of differential geometry and geodesic flows. Given a smooth manifold \\( M \\), the unit tangent bundle, denoted as \\( U(TM) \\), consists of all unit tangent vectors at every point in \\( M \\).