About a family of ALF instantons with conical singularities

DOI10.3842/sigma.2023.079zbMath1529.53046arXiv2306.11110OpenAlexW4387818578MaRDI QIDQ6085579

Olivier Biquard, Paul Gauduchon

Publication date: 8 November 2023

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2306.11110

zbMATH Keywords

gravitational instantonstoric manifoldsconformally Kähler metricsALF spacesRicci-flat four-manifolds

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07)

Cites Work

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• Ambitoric geometry. I: Einstein metrics and extremal ambikähler structures
• Rod-structure classification of gravitational instantons with \(U(1)\times U(1)\) isometry
• Regular ambitoric 4-manifolds: from Riemannian Kerr to a complete classification
• On toric Hermitian ALF gravitational instantons
• Métriques kählériennes et fibrés holomorphes
• Lectures on the topology of 3-manifolds. An introduction to the Casson invariant

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