Holonomy groups of compact Riemannian manifolds: A classification in dimensions up to ten

DOI10.1063/1.529999zbMath0799.53029OpenAlexW1992818389WikidataQ115331146 ScholiaQ115331146MaRDI QIDQ3141415

Brett McInnes

Publication date: 7 November 1994

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.529999

zbMATH Keywords

holonomy groupslocally irreducible

Mathematics Subject Classification ID

Connections (general theory) (53C05)

Related Items (5)

On space forms of Grassmann manifolds ⋮ Holonomy groups and holonomy representations ⋮ Gauging discrete symmetries ⋮ How to find the holonomy algebra of a Lorentzian manifold ⋮ Examples of Einstein manifolds with all possible holonomy groups in dimensions less than seven

Cites Work

• On compact Kähler manifolds with positive definite Ricci tensor
• Gauge theory in Witten's approach to the generation problem
• Einstein metrics on \(S^ 3\), \(R^ 3\) and \(R^ 4\) bundles
• Compact Clifford-Klein forms of symmetric spaces
• On the first Betti number of compact quotient spaces of higher-dimensional symmetric spaces
• Methods of holonomy theory for Ricci-flat Riemannian manifolds

This page was built for publication: Holonomy groups of compact Riemannian manifolds: A classification in dimensions up to ten