Anti-self-dual Bihermitian Structures on Inoue Surfaces
نویسنده
چکیده
In this article we show that any hyperbolic Inoue surface (also called InoueHirzebruch surface of even type) admits anti-self-dual bihermitian structures. The same result holds for any of its small deformations as far as its anti-canonical system is nonempty. Similar results are obtained for parabolic Inoue surfaces. Our method also yields a family of anti-self-dual hermitian metrics on any half Inoue surface. We use the twistor method of Donaldson-Friedman [13] for the proof.
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تاریخ انتشار 2009