Holonomy Groups and Algebras

DOI10.1007/978-3-642-22842-1_1zbMath1254.53082OpenAlexW2113491790MaRDI QIDQ2897238

Lorenz J. Schwachhöfer

Publication date: 10 July 2012

Published in: Global Differential Geometry (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2003/27117

zbMATH Keywords

holonomy groupintrinsic torsionG-structuresymmetric connection

Mathematics Subject Classification ID

Issues of holonomy in differential geometry (53C29) Connections (general theory) (53C05)

Related Items (1)

Components of eleven-dimensional supergravity with four off-shell supersymmetries

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Twistor spaces
• On the transitivity of holonomy systems
• Variétés kähleriennes dont la première classe de Chern est nulle
• Special symplectic connections
• On the structure of pseudo-Riemannian symmetric spaces
• A generalization of the momentum mapping construction for quaternionic Kähler manifolds
• Quaternionic reduction and quaternionic orbifolds
• Metrics with exceptional holonomy
• Quaternionic Kaehler manifolds
• Parallel spinors and parallel forms
• Parallel spinors and holonomy groups on pseudo-Riemannian spin manifolds
• A variational principle for symplectic connections
• On the holonomy of pseudo-Riemannian manifolds of signature \((2,2+n)\)
• On compact Riemannian manifolds with noncompact holonomy groups
• Classification of irreducible holonomies of torsion-free affine connections
• On the construction of some complete metrics with exceptional holonomy
• Uniformization of Kähler manifolds with vanishing Bochner tensor
• Compact Riemannian 7-manifolds with holonomy \(G_ 2\). I
• Alekseevskian spaces
• Compact 8-manifolds with holonomy \(\text{Spin}(7)\)
• On the classification of Lorentzian holonomy groups
• A geometric proof of the Berger holonomy theorem
• Holonomy groups of indefinite metrics
• On the de Rham decomposition theorem
• Curvature and Betti Numbers. II
• Sur la réductibilité d'un espace de Riemann
• Bochner-Kähler metrics
• Sur les groupes d'holonomie homogènes de variétés à connexion affine et des variétés riemanniennes
• On the Holonomy Groups of Linear Connections
• Les espaces symétriques noncompacts
• METRICS THAT REALIZE ALL LORENTZIAN HOLONOMY ALGEBRAS
• Bochner-Kaehler metrics and connections of Ricci type
• Métriques kählériennes et fibrés holomorphes
• CLASSIFICATION OF QUATERNIONIC SPACES WITH A TRANSITIVE SOLVABLE GROUP OF MOTIONS
• On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
• Sur l'holonomie des variétés pseudo-riemanniennes de signature $(n,n)$
• Exotic Holonomies ${\rm E}^{(a)}_7$
• SYMPLECTIC CONNECTIONS
• The Integrability Problem for G-Structures
• Lorentzian symmetric spaces
• Geometry Associated with Semisimple Flat Homogeneous Spaces
• A Theorem on Holonomy
• Homogeneous symplectic manifolds with Ricci-type curvature
• Connections with irreducible holonomy representations
• The geometry of homogeneous submanifolds of hyperbolic space
• A construction of symplectic connections through reduction.
• Homogeneous connections with special symplectic holonomy
• On the existence of infinite series of exotic holonomies

This page was built for publication: Holonomy Groups and Algebras