Journal of the Mathematical Society of Japan

On a construction of the twistor spaces of Joyce metrics, II

Nobuhiro HONDA

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Abstract

In this note, we explicitly construct the twistor spaces of some Joyce metrics on the connected sum of arbitrary number of complex projective planes. Unlike our former construction for the case of four complex projective planes, the present construction mainly utilizes minitwistor spaces, and partially follows the method and construction given in [5] and [6].

Article information

Source
J. Math. Soc. Japan Volume 61, Number 4 (2009), 1243-1260.

Dates
First available in Project Euclid: 6 November 2009

Permanent link to this document
https://projecteuclid.org/euclid.jmsj/1257520506

Digital Object Identifier
doi:10.2969/jmsj/06141243

Mathematical Reviews number (MathSciNet)
MR2424925

Zentralblatt MATH identifier
1218.32012

Subjects
Primary: 32L25: Twistor theory, double fibrations [See also 53C28]
Secondary: 32G05: Deformations of complex structures [See also 13D10, 16S80, 58H10, 58H15] 32G07: Deformations of special (e.g. CR) structures 53A30: Conformal differential geometry 53C25: Special Riemannian manifolds (Einstein, Sasakian, etc.)

Keywords
twistor space minitwistor space Moishezon manifold conic bundle bimeromorphic transformation self-dual metric

Citation

HONDA, Nobuhiro. On a construction of the twistor spaces of Joyce metrics, II. J. Math. Soc. Japan 61 (2009), no. 4, 1243--1260. doi:10.2969/jmsj/06141243. https://projecteuclid.org/euclid.jmsj/1257520506


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References

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