Anti-self-dual bihermitian structures on Inoue surfaces
arXiv:0903.1320
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.
69 pages,
Cited by in corpus (6)
- Deformations of Generalized Kahler Structures and Bihermitian Structures
- Unobstructed K-deformations of Generalized Complex Structures and Bihermitian Structures
- Automorphisms of parabolic Inoue surfaces
- Topology of locally conformally Kahler manifolds with potential
- Non-upper-semicontinuity of algebraic dimension for families of compact complex manifolds
- Toric Kato manifolds