Classification of irreducible holonomies of torsion-free affine connections

From MaRDI portal
Publication:1808857

DOI10.2307/121098zbMath0992.53038arXivmath/9907206OpenAlexW2593782054WikidataQ56386877 ScholiaQ56386877MaRDI QIDQ1808857

Sergey A. Merkulov, Lorenz J. Schwachhöfer

Publication date: 14 May 2001

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9907206




Related Items (47)

Minimal rational curves and 1-flat irreducible G-structuresHolonomy Groups and AlgebrasTorsion-free \(G_{3}\)-connections that are not analyticConformal holonomy, symmetric spaces, and skew symmetric torsionThe twofold way of super holonomyNote on the holonomy groups of pseudo-Riemannian manifoldsArgument shift method and sectional operators: applications to differential geometryExistence of HKT metrics on hypercomplex manifolds of real dimension 8On Fano complete intersections in rational homogeneous varietiesRicci-flat holonomy: a classificationHypercomplex almost abelian solvmanifoldsHolonomy classification of Lorentz-Kähler manifoldsIrreducible holonomy algebras of Riemannian supermanifoldsHARMONIC MAPS AND TWISTORIAL STRUCTURESConformal holonomy of \(\mathbb{C}\)-spaces, Ricci-flat, and Lorentzian manifoldsFano manifolds containing a negative divisor isomorphic to a rational homogeneous space of Picard number oneMetric connections with parallel skew-symmetric torsionHolonomy reductions of Cartan geometries and curved orbit decompositionsFiber averaged dynamics associated with the Lorentz force equationDefinite signature conformal holonomy: a complete classificationAddendum to: ``Ricci-flat holonomy: A classification [J. Geom. Phys. 57 (6) 1457-1475: The case of spin(10)] ⋮ Twistor theory at fifty: from contour integrals to twistor stringsParabolic conformally symplectic structures. I: Definition and distinguished connectionsProjective holonomy. I: Principles and propertiesClassification of polarized manifolds admitting homogeneous varieties as ample divisorsUnnamed ItemRepresentations admitting two pairs of supplementary invariant spacesProjective holonomy II: Cones and complete classificationsIrreducible holonomy algebras of odd Riemannian supermanifoldsSpecial symplectic connections and Poisson geometryOne component of the curvature tensor of a Lorentzian manifoldConnections with irreducible holonomy representationsOn a rigidity condition for Berwald spacesEinstein connections and involutions via parabolic geometriesOn the full holonomy group of Lorentzian manifoldsOn holonomy of Weyl connections in Lorentzian signatureAHS–structures and affine holonomiesDispersionless integrable hierarchies and GL(2, ℝ) geometryTowards a canonical divergence within information geometryManifolds with holonomy \(\mathrm{U}^\ast (2m)\)SYMPLECTIC CONNECTIONSGradings on the real form 𝔢6,−26Irreducible complex skew-Berger algebrasDifferential geometry of \(\textsf{SO}^\ast(2n)\)-type structuresCURVATURE SUBMODULES FOR GRASSMANN STRUCTURES WITH TORSIONThe geometry of three-forms in six dimensions.Non-relativistic twistor theory and Newton-Cartan geometry




This page was built for publication: Classification of irreducible holonomies of torsion-free affine connections