Anti-self-dual bihermitian structures on Inoue surfaces
Differential Geometry
2009-03-10 v1 Algebraic Geometry
Abstract
We show that any hyperbolic Inoue surface (or Inoue-Hirzebruch surface of even type) admits anti-self-dual bihermitian structures. The same result also holds for any of its small deformations as far as its anti-canonical system is non-empty. Similar results are obtained for parabolic Inoue surfaces. Our method also yields anti-self-dual hermitian metrics on any half Inoue surface. We use the twistor method of Donaldson-Friedman for the proof.
Keywords
Cite
@article{arxiv.0903.1320,
title = {Anti-self-dual bihermitian structures on Inoue surfaces},
author = {A. Fujiki and M. Pontecorvo},
journal= {arXiv preprint arXiv:0903.1320},
year = {2009}
}
Comments
69 pages,