real vector bundle

(see also *Chern-Weil theory*, parameterized homotopy theory)

A *real vector bundle* is a vector bundle of real vector spaces associated to an $O(n)$-principal bundle for $O(n)$ the orthogonal group.

This is in contrast to complex vector bundles.

Last revised on November 25, 2020 at 05:11:48. See the history of this page for a list of all contributions to it.