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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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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.
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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