A special class of Fiber Bundle in which the Fiber is a Vector Space. Technically, a little more isrequired; namely, if is a Bundle with Fiber , to be a vector bundle, all of theFibers for need to have a coherent Vector Space structure. One way to saythis is that the ``trivializations'' , are Fiber-for-Fiber Vector Space Isomorphisms.
See also Bundle, Fiber, Fiber Bundle, Lie Algebroid, Stable Equivalence, Tangent Map, Vector Space, Whitney Sum