Hermitian surfaces and a twistor space of algebraic dimension $2$
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- by Massimiliano Pontecorvo PDF
- Proc. Amer. Math. Soc. 113 (1991), 177-186 Request permission
Abstract:
We study anti-self-dual hermitian surfaces with odd first Betti number. We show that the twistor space of a Hopf surface $M$ has algebraic dimension 2, and we prove existence of half-conformally-flat metrics on the connected sum of copies of $M$ and $\mathbb {C}{\mathbb {P}_2}$. Finally we emphasize some differences with the case ${b_1}$ even.References
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Additional Information
- © Copyright 1991 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 113 (1991), 177-186
- MSC: Primary 32J20; Secondary 32J17, 32L25, 53C55
- DOI: https://doi.org/10.1090/S0002-9939-1991-1074754-2
- MathSciNet review: 1074754