Degenerations of LeBrun twistor spaces

DOI10.1007/s00220-010-1165-xzbMath1209.53036arXiv1001.3461OpenAlexW3105503786MaRDI QIDQ627502

Nobuhiro Honda

Publication date: 2 March 2011

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

Full work available at URL: https://arxiv.org/abs/1001.3461

zbMATH Keywords

rational double pointshyper-Kähler metricsLeBrun metrics

Mathematics Subject Classification ID

Twistor theory, double fibrations (complex-analytic aspects) (32L25) Twistor methods in differential geometry (53C28)

Related Items (1)

Deformation of LeBrun's ALE metrics with negative mass

Cites Work

• Monopole metrics and the orbifold Yamabe problem
• Compact self-dual manifolds with positive scalar curvature
• Counter-examples to the generalized positive action conjecture
• Conformal symmetries of self-dual hyperbolic monopole metrics
• Explicit self-dual metrics on \({\mathbb{C}}{\mathbb{P}}_ 2\#\cdots \#{\mathbb{C}}{\mathbb{P}}_ 2\)
• Moduli spaces of critical Riemannian metrics in dimension four
• Connected sums of self-dual manifolds and deformations of singular spaces
• Twistors, Kahler Manifolds, and Bimeromorphic Geometry. I
• On Twistor Spaces of Anti-Self-Dual Hermitian Surfaces
• Self-duality in four-dimensional Riemannian geometry
• Polygons and gravitons

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