Madani, Farid and Moroianu, Andrei and Pilca, Mihaela (2017) On toric locally conformally Kahler manifolds. ANNALS OF GLOBAL ANALYSIS AND GEOMETRY, 51 (4). pp. 401-417. ISSN 0232-704X, 1572-9060
Full text not available from this repository. (Request a copy)Abstract
We study compact toric strict locally conformally Kahler manifolds. We show that the Kodaira dimension of the underlying complex manifold is -infinity, and that the only compact complex surfaces admitting toric strict locally conformally Kahler metrics are the diagonal Hopf surfaces. We also show that every toric Vaisman manifold has lcK rank 1 and is isomorphic to the mapping torus of an automorphism of a toric compact Sasakian manifold.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | COMPLEX ANALYTIC SURFACES; COMPACT; Locally conformally Kahler structure; Hopf surface; Toric manifold; Twisted Hamiltonian |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 14 Dec 2018 13:10 |
| Last Modified: | 18 Feb 2019 13:06 |
| URI: | https://pred.uni-regensburg.de/id/eprint/838 |
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