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.

Revised on May 26, 2017 05:41:05
by Urs Schreiber
(92.218.150.85)