The hypercomplex quotient and the quaternionic quotient

DOI10.1007/BF01459248zbMath0723.53043OpenAlexW2081824217WikidataQ56991086 ScholiaQ56991086MaRDI QIDQ756728

Dominic David Joyce

Publication date: 1991

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164821

zbMATH Keywords

torsion-free connectionhypercomplex manifoldquaternionic complex manifoldsquotient constructionscalar-flat Kähler surface

Mathematics Subject Classification ID

Other complex differential geometry (53C56) Analytic spaces (32C99)

Related Items

Complex structures on quaternionic manifolds, Generalised connected sums of quaternionic manifolds, Explicit construction of self-dual 4-manifolds, Reduction of Vaisman structures in complex and quaternionic geometry, Hypercomplex structures on Stiefel manifolds, Reduction of HKT-structures, A hypercomplex Stiefel manifold, Pluricomplex geometry and hyperbolic monopoles, On the hyperkähler/quaternion Kähler correspondence, Nonzero scalar curvature generalizations of the ALE hyperkähler metrics, Homogeneous almost quaternion-Hermitian manifolds, Einstein metrics on bundles over Hyperkähler manifolds, Hilbert schemes, commuting matrices and hyperkähler geometry, Compactifications of indefinite 3-Sasaki structures and their quaternionic Kähler quotients, Scalar-flat Kähler orbifolds via quaternionic-complex reduction, 𝑆¹-quotients of quaternion-Kähler manifolds, Latent quaternionic geometry, A smörgåsbord of scalar-flat Kähler ALE surfaces, The odd side of torsion geometry, The quaternionic/hypercomplex-correspondence, Manifolds with holonomy \(\mathrm{U}^\ast (2m)\), Projective geometry and the quaternionic Feix–Kaledin construction, Non-minimal scalar-flat Kähler surfaces and parabolic stability, Special geometries associated to quaternion-Kähler 8-manifolds, On Kähler conformal compactifications of \(U(n)\)-invariant ALE spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Compact self-dual manifolds with positive scalar curvature
• Hyperkähler metrics and supersymmetry
• Quaternionic reduction and quaternionic orbifolds
• Counter-examples to the generalized positive action conjecture
• Quaternionic Kaehler manifolds
• Reduction of symplectic manifolds with symmetry
• Sur les groupes d'holonomie homogènes de variétés à connexion affine et des variétés riemanniennes
• A Note on Hyperhermitian Four-Manifolds
• On Twistor Spaces of Anti-Self-Dual Hermitian Surfaces
• Differential geometry of quaternionic manifolds