Projective bundle
= Projective bundle
{wiki=Projective_bundle}
In algebraic geometry and differential geometry, a projective bundle is a space that parametrizes lines (or higher-dimensional projective subspaces) in a vector bundle. More formally, given a vector bundle \\( E \\) over a topological space (or algebraic variety) \\( X \\), the projective bundle associated with \\( E \\) is denoted by \\( \\mathbb\{P\}(E) \\) and consists of the projectivization of the fibers of \\( E \\).