A geometric proof of the Berger Holonomy Theorem

Pages 579-588 from Volume 161 (2005), Issue 1 by Carlos Olmos

Abstract

The proof uses Euclidean submanifold geometry of orbits and gives a link between Riemannian holonomy groups and normal holonomy groups.

DOI
https://doi.org/10.4007/annals.2005.161.579
MR
2150392
zbMATH
1082.53048
Milestones
Received: 1 March 2004
Accepted: 30 July 2004
Published online: January 2005

Authors

Carlos Olmos

Facultad de Matemática, Astronomía y Física, Universidad Nacional de Córdoba, Córdoba, Argentina