A Kummer type construction of self-dual metrics on the connected sum of four complex projective planes

DOI10.2969/jmsj/05210139zbMath0979.53082OpenAlexW2092721905WikidataQ126282255 ScholiaQ126282255MaRDI QIDQ1975895

Mitsuhiro Itoh, Nobuhiro Honda

Publication date: 27 August 2000

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/05210139

zbMATH Keywords

scalar curvatureisometry groupelliptic fibrationconnected sumtwistor spacestwistor theoryself-dual metricscomplex projective planes

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Twistor theory, double fibrations (complex-analytic aspects) (32L25) Twistor methods in differential geometry (53C28)

Related Items (3)

Twistors, Quartics, and del Pezzo Fibrations ⋮ Non-Moishezon twistor spaces of $4{\mathbf {CP}}^2$ with non-trivial automorphism group ⋮ Geometry of some twistor spaces of algebraic dimension one

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