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

Nobuhiro Honda

doi:10.2969/jmsj/06141243

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

Nobuhiro Honda

Research output: Contribution to journal › Article › peer-review

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].

Original language	English
Pages (from-to)	1243-1260
Number of pages	18
Journal	Journal of the Mathematical Society of Japan
Volume	61
Issue number	4
DOIs	https://doi.org/10.2969/jmsj/06141243
Publication status	Published - 2009 Oct
Externally published	Yes

Keywords

Bimeromorphic transformation
Conic bundle
Minitwistor space
Moishezon manifold
Self-dual metric
Twistor space

ASJC Scopus subject areas

Mathematics(all)

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10.2969/jmsj/06141243

Cite this

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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].",

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KW - Minitwistor space

KW - Moishezon manifold

KW - Self-dual metric

KW - Twistor space

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

Abstract

Keywords

ASJC Scopus subject areas

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