Reduction Theorem for Connections and its Application to the Problem of Isotropy and Holonomy Groups of a Riemannian Manifold

DOI10.1017/S002776300002328XzbMath0067.14503WikidataQ115336385 ScholiaQ115336385MaRDI QIDQ3228098

Katsumi Nomizu

Publication date: 1955

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Riemannian manifolds

Related Items

Un Theoreme sur Les Groupes D’holonomie, Infinitesimal Holonomy Groups of Bundle Connections, A QP perspective on topology change in Poisson–Lie T-duality, On Infinitesimal Holonomy and Isotropy Groups, Canonical Connections and Pontrjagin Classes, Bundles over nearly-Kähler homogeneous spaces in heterotic string theory, Seiberg-Witten monopoles and flat \(\operatorname{PSL}(2, \mathbb{R})\)-connections, Connection of topological vector bundles

Cites Work

• Sur la réductibilité d'un espace de Riemann
• Des groupes linéaires irréductibles et la géomérie différentielle
• Invariant Affine Connections on Homogeneous Spaces
• Vector fields and Ricci curvature