Journal of the Mathematical Society of Japan

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

Nobuhiro HONDA

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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].

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

First available in Project Euclid: 6 November 2009

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Zentralblatt MATH identifier

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.)

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


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.

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