Quaternion-Kähler four-manifolds and Przanowski's function

DOI10.1063/1.4758794zbMath1282.58014arXiv1205.3977OpenAlexW3101533655WikidataQ125347102 ScholiaQ125347102MaRDI QIDQ2872306

Moritz Hoegner

Publication date: 14 January 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.3977

zbMATH Keywords

anti-self-dual Einstein manifoldsPrzanowski's equationquaternion-Kähler four-manifolds

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Classical real and complex (co)homology in algebraic geometry (14F25) Twistor methods in differential geometry (53C28) Kähler-Einstein manifolds (32Q20) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21)

Related Items (3)

On the Einstein-Weyl and conformal self-duality equations ⋮ Twistor theory at fifty: from contour integrals to twistor strings ⋮ Integrability of anti-self-dual vacuum Einstein equations with nonzero cosmological constant: an infinite hierarchy of nonlocal conservation laws

Cites Work

• On NS5-brane instantons and volume stabilization
• Self-dual space-times with cosmological constant
• Quaternionic Kaehler manifolds
• Nonlinear gravitons and curved twistor theory
• Harmonic space and quaternionic manifolds
• Four–dimensional metrics conformal to Kähler
• Canonical structures on anti-self-dual four-manifolds and the diffeomorphism group
• Killing vector fields in self-dual, Euclidean Einstein spaces with Λ≠0
• Self-duality in four-dimensional Riemannian geometry
• FANO MANIFOLDS, CONTACT STRUCTURES, AND QUATERNIONIC GEOMETRY
• Self-dual Einstein spaces, heavenly metrics, and twistors
• Hyper-Kähler hierarchies and their twistor theory

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