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

Kurke Herbert | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Premium

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

Author(s) -

Kurke Herbert

Publication year - 1992

Publication title -

mathematische nachrichten

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.913

H-Index - 50

eISSN - 1522-2616

pISSN - 0025-584X

DOI - 10.1002/mana.19921580105

Subject(s) - twistor theory , pencil (optics) , twistor space , mathematics , pure mathematics , class (philosophy) , projective plane , degree (music) , transversal (combinatorics) , algebra over a field , mathematical analysis , geometry , physics , computer science , artificial intelligence , acoustics , correlation , quantum mechanics

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].

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research