Hyperbolic Twistor Spaces

نویسندگان

  • D. E. Blair
  • Paulette Libermann
چکیده

In contrast to the classical twistor spaces whose fibres are 2-spheres, we introduce twistor spaces over manifolds with almost quaternionic structures of the second kind in the sense of P. Libermann whose fibres are hyperbolic planes. We discuss two natural almost complex structures on such a twistor space and their holomorphic functions. Mathematics Subject Classification (2000). 53C28, 32L25, 53C26, 53C50.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Explicit Self - Dual Metrics On

We display explicit half-conformally-flat metrics on the connected sum of any number of copies of the complex projective plane. These metrics are obtained from magnetic monopoles in hyperbolic 3-space by an analogue of the Gibbons-Hawking ansatz, and are conformal compactifications of asymptotically-flat, scalar-flat Kahler metrics on «-fold blow-ups of C . The corresponding twistor spaces are ...

متن کامل

Explicit Construction of New Moishezon Twistor Spaces

In this paper we explicitly construct Moishezon twistor spaces on nCP for arbitrary n ≥ 2 which admit a holomorphic C-action. When n = 2, they coincide with Y. Poon’s twistor spaces. When n = 3, they coincide with the one studied by the author in [14]. When n ≥ 4, they are new twistor spaces, to the best of the author’s knowledge. By investigating the anticanonical system, we show that our twis...

متن کامل

Double Solid Twistor Spaces: the Case of Arbitrary Signature

In a recent paper ([9]) we constructed a series of new Moishezon twistor spaces which are a kind of variant of the famous LeBrun twistor spaces. In this paper we explicitly give projective models of another series of Moishezon twistor spaces on nCP for arbitrary n ≥ 3, which can be regarded as a generalization of the twistor spaces of ‘double solid type’ on 3CP studied by Kreußler, Kurke, Poon ...

متن کامل

A New Series of Compact Minitwistor Spaces and Moishezon Twistor Spaces over Them

In recent papers [8, 9], we gave explicit description of some new Moishezon twistor spaces. In this paper, generalizing the method in the papers, we explicitly give projective models of a number of new Moishezon twistor spaces, as conic bundles over some rational surfaces (called minitwistor spaces). These include the twistor spaces studied in the papers as very special cases. Our source of the...

متن کامل

Explicit Construction of New Moishezon Twistor Spaces, Ii

In Part I, we constructed a series of new Moishezon twistor spaces which is a kind of variant of the famous LeBrun twistor spaces. In this paper we explicitly give projective models of another series of Moishezon twistor spaces on nCP for arbitrary n ≥ 3, which can be regarded as a generalization of the twistor spaces of a ‘double solid type’ on 3CP studied by Kreußler, Kurke, Poon and the auth...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2003