\(G\)-structures of twistor type and their twistor spaces

DOI10.1016/0393-0440(93)90015-7zbMath0779.53020OpenAlexW2014610728WikidataQ126089247 ScholiaQ126089247MaRDI QIDQ1801603

Dimitrii V. Alekseevsky, Michail M. Graev

Publication date: 17 August 1993

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0393-0440(93)90015-7

zbMATH Keywords

curvature tensoralmost complex structurehorizontal distributionKoszul-Spencer complex

Mathematics Subject Classification ID

Spinor and twistor methods applied to problems in quantum theory (81R25) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) (G)-structures (53C10)

Related Items

Instantons in six dimensions and twistors ⋮ Quaternionic structures on a manifold and subordinated structures ⋮ A note on Lagrangian submanifolds of twistor spaces and their relation to superminimal surfaces ⋮ The twistor spaces of a para-quaternionic Kähler manifold ⋮ The quaternionic/hypercomplex-correspondence ⋮ SOME HIGHLIGHTS OF DMITRY ALEKSEEVSKY'S WORK ⋮ Compatible complex structures on almost quaternionic manifolds ⋮ Instantons on the six-sphere and twistors

Cites Work

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• Twistor spaces
• Lie groups and twistor spaces
• Contact structures on twistor spaces
• Quaternionic Kaehler manifolds
• Twistor theory for Riemannian symmetric spaces. With applications to harmonic maps of Riemann surfaces
• Self-duality in four-dimensional Riemannian geometry
• Differential geometry of quaternionic manifolds

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