Quaternionic-Kähler manifolds and conformal geometry

DOI10.1007/BF01442490zbMath0674.53036MaRDI QIDQ1121534

Claude LeBrun

Publication date: 1989

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

Full work available at URL: https://eudml.org/doc/164558

zbMATH Keywords

conformal geometrytwistor spaceholonomy groupQuaternionic-Kähler manifoldsreal-analytic conformal pseudo-Riemannian metric

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Local differential geometry of Hermitian and Kählerian structures (53B35)

Related Items

Complex structures on quaternionic manifolds, Strong rigidity of positive quaternion-Kähler manifolds, D3-instantons, mock theta series and twistors, Contact homogeneous spaces, Remarks on a triple of \(K\)-contact structures, \(G\)-structures with structure groups of type \(C_ l\) on manifolds of rational curves, S-duality and the universal isometries of q-map spaces, Quaternionic contact structures in dimension 7, Twistor theory for co-CR quaternionic manifolds and related structures, On tame \(\rho \)-quaternionic manifolds, Quaternion-Kähler manifolds near maximal fixed point sets of \(S^1\)-symmetries, S-duality and the universal isometries of instanton corrected q-map spaces, Geometry of Kodaira moduli spaces, Fivebrane instantons, topological wave functions and hypermultiplet moduli spaces, On complete quaternionic-Kähler manifolds, Quaternionic, quaternionic Kähler, and hyper-Kähler supermanifolds, Linear perturbations of quaternionic metrics, Einstein condition and twistor spaces of compatible partially complex structures, Twistor spaces of generalized complex structures, S-duality in twistor space, Instantons on hyperkähler manifolds, Projective geometry and the quaternionic Feix–Kaledin construction, Twistor space of generalized complex structures, Compatible complex structures on almost quaternionic manifolds, From \(G_2\) geometry to quaternionic Kähler metrics, Quaternionic geometry of a nilpotent variety

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