Twistorial maps between quaternionic manifolds

DOI10.2422/2036-2145.2010.1.02zbMath1193.53121arXiv0801.4587OpenAlexW2950839407MaRDI QIDQ3569358

Radu Pantilie, Liviu Ornea, Stefano Marchiafava, Steriu Ianus, Renzo Mazzocco, Gabriel Eduard Vîlcu

Publication date: 18 June 2010

Published in: Journal of Nonlinear Mathematical Physics, ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0801.4587

zbMATH Keywords

stabilityquaternionic Kähler manifoldsharmonic mapsintegrablequaternionic manifoldtwistorial mapalmost quaternionic structurealmost quaternionic Hermitian manifoldsquaternionic mapA-equivalenthypercomplex linear map\((\sigma,\sigma')\)-holomorphic map

Mathematics Subject Classification ID

Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Twistor methods in differential geometry (53C28) Differential geometric aspects of harmonic maps (53C43)

Related Items (10)

Statistical manifolds with almost quaternionic structures and quaternionic Kähler-like statistical submersions ⋮ Twistor theory for co-CR quaternionic manifolds and related structures ⋮ On tame \(\rho \)-quaternionic manifolds ⋮ On the stability of \(T\)-space forms ⋮ Generalized quaternionic manifolds ⋮ Riemannian submersions from quaternionic manifolds ⋮ Unnamed Item ⋮ On paraquaternionic submersions between paraquaternionic Kähler manifolds ⋮ Twistor theory for CR quaternionic manifolds and related structures ⋮ On the quaternionic manifolds whose twistor spaces are Fano manifolds

Cites Work

• Unnamed Item
• Quaternionic structures on a manifold and subordinated structures
• Quaternionic Kaehler manifolds
• Quaternion Kählerian manifolds
• Harmonic maps on contact metric manifolds
• Harmonic Mappings of Riemannian Manifolds
• Maps interchanging \(f\)-structures and their harmonicity
• CR-manifolds, harmonic maps and stability.

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