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Classification of Twistor Spaces with a Pencil of Surfaces of Degree 1, Part I

✍ Scribed by Herbert Kurke

Publisher: John Wiley and Sons
Year: 2006
Tongue: English
Weight: 785 KB
Volume: 158
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.19921580105

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✦ Synopsis

Abstract

We display a family of compact complex 3‐manifolds which yields all twistor spaces containing a pencil of surfaces transversal to the twistor lines. This also yields explicit families of self‐dual metrics on connected sums of complex projective planes. This yields a completely alternative approach to a class of such metrics which was recently found by Claude le Brun [11].

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