We analyze some geometric aspects of Kaluza–Klein theories under the assumption that the (4+d)‐dimensional space is a bundle over space–time M with fiber G/H. We formulate the most general metric in the bundle which leads, upon dimensional reduction of the Ricci scalar, to a G‐gauge invariant Lagrangian. We find that the treatment of Brans–Dicke‐like scalars given by some authors is inconsistent with the bundle‐theoretic interpretation.
