On the generalization of Inoue manifolds
| dc.contributor.author | Andrei Pajitnov, Endo Hisaaki | |
| dc.date.accessioned | 2021-03-04T13:57:54Z | |
| dc.date.available | 2021-03-04T13:57:54Z | |
| dc.date.issued | 2020 | |
| dc.description.abstract | This paper is about a generalization of celebrated Inoue's surfaces. To each matrix M in SL(2n+1,ℤ) we associate a complex non-Kähler manifold TM of complex dimension n+1. This manifold fibers over S1 with the fiber T2n+1 and monodromy MT. Our construction is elementary and does not use algebraic number theory. We show that some of the Oeljeklaus-Toma manifolds are biholomorphic to the manifolds of type TM. We prove that if M is not diagonalizable, then TM does not admit a Kähler structure and is not homeomorphic to any of Oeljeklaus-Toma manifolds.
 | |
| dc.identifier.issn | 2409-8906 | |
| dc.identifier.uri | https://card-file.ontu.edu.ua/handle/123456789/16682 | |
| dc.source | Proceedings of the International Geometry Center | |
| dc.title | On the generalization of Inoue manifolds |