Connections with irreducible holonomy representations
From MaRDI portal
Publication:5940000
DOI10.1006/aima.2000.1973zbMath1037.53035OpenAlexW2017515408WikidataQ56386880 ScholiaQ56386880MaRDI QIDQ5940000
Publication date: 2001
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/8d00019f0591ebe7e238a8df9eaeb4d359f48463
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Twistor methods in differential geometry (53C28) Issues of holonomy in differential geometry (53C29) Connections (general theory) (53C05) Sub-Riemannian geometry (53C17)
Related Items
Holonomy Groups and Algebras, Torsion-free \(G_{3}\)-connections that are not analytic, Argument shift method and sectional operators: applications to differential geometry, Holonomy algebras of pseudo-hyper-Kählerian manifolds of index 4, Holonomy groups of pseudo-quaternionic-Kählerian manifolds of non-zero scalar curvature, Irreducible holonomy algebras of Riemannian supermanifolds, The algebra of parallel endomorphisms of a pseudo-Riemannian metric: semi-simple part, Conformal holonomy of \(\mathbb{C}\)-spaces, Ricci-flat, and Lorentzian manifolds, Irreducible holonomy algebras of odd Riemannian supermanifolds, On the holonomy of Lorentzian metrics, One component of the curvature tensor of a Lorentzian manifold, SYMPLECTIC CONNECTIONS, Holonomy of supermanifolds, Irreducible complex skew-Berger algebras, Differential geometry of \(\textsf{SO}^\ast(2n)\)-type structures
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
- Unnamed Item
- On the transitivity of holonomy systems
- Metrics with exceptional holonomy
- Transformation groups on homogeneous-rational manifolds
- Exotic holonomy on moduli spaces of rational curves
- Lectures on the geometry of Poisson manifolds
- Existence and geometry of Legendre moduli spaces
- Classification of irreducible holonomies of torsion-free affine connections
- Moduli of compact Legendre submanifolds of complex contact manifolds
- Compact Riemannian 7-manifolds with holonomy \(G_ 2\). II
- On homogeneous connections with exotic holonomy
- Transformation groups of spheres
- Sur les groupes d'holonomie homogènes de variétés à connexion affine et des variétés riemanniennes
- On the Holonomy Groups of Linear Connections
- A Note on Infinitesimal Holonomy Groups
- Les espaces symétriques noncompacts
- Métriques kählériennes et fibrés holomorphes
- On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
- Connections with Exotic Holonomy
- Exotic Holonomies ${\rm E}^{(a)}_7$
- Moduli spaces of compact complex submanifolds of complex fibered manifolds
- Geometry of Kodaira moduli spaces
- The Integrability Problem for G-Structures
- Geometry Associated with Semisimple Flat Homogeneous Spaces
- Introduction to Lie Algebras and Representation Theory
- Some remarks about Lie groups transitive on spheres and tori
- A Theorem on Holonomy
- Groups transitive on the 𝑛-dimensional torus
- On the existence of infinite series of exotic holonomies
