Complexification and Hypercomplexification of Manifolds with a Linear Connection

DOI10.1142/S0129167X03001880zbMath1064.53029arXivmath/0212175MaRDI QIDQ4474443

Roger Bielawski

Publication date: 12 July 2004

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0212175

zbMATH Keywords

twistorsNahm's equationshypercomplex manifoldhyper-Kähler metricadapted complex structure

Mathematics Subject Classification ID

Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Other complex differential geometry (53C56) Connections (general theory) (53C05)

Related Items (8)

Quaternion-Kähler manifolds near maximal fixed point sets of \(S^1\)-symmetries ⋮ Adapted complex tubes on the symplectization of pseudo-Hermitian manifolds ⋮ Hermitian and quaternionic Hermitian structures on tangent bundles ⋮ THE ADAPTED COMPLEXIFICATION OF AN ELLIPSOID ⋮ COMPLEX CROWNS OF SYMMETRIC SPACES ⋮ C-projective symmetries of submanifolds in quaternionic geometry ⋮ Holomorphic geometric models for representations of \(C^*\)-algebras ⋮ Projective geometry and the quaternionic Feix–Kaledin construction

Cites Work

• Unnamed Item
• Global solutions of the homogeneous complex Monge-Ampère equation and complex structures on the tangent bundle of Riemannian manifolds
• Complex structures on tangent bundles of Riemannian manifolds
• Moduli spaces of compact complex submanifolds of complex fibered manifolds

This page was built for publication: Complexification and Hypercomplexification of Manifolds with a Linear Connection