Guijarro, L., Schick, T. and Walschap, G.: Bundles with spherical Euler class

• Author: Luis Guijarro, Thomas Schick, and Gerard Walschap
• Titel: Bundles with spherical Euler class
• Abstract: In this note we show that non-vanishing of the (rational) Euler class of a given k-dimensional vector bundle E over a compact CW-complex X implies that for every Euclidean metric with Riemannian connection on E, the holonomy action (on the unit sphere bundle) is transitive, as long as X is simply connected and rationally (k+1)/2-connected.