Pilca, Mihaela (2016) Toric Vaisman manifolds. JOURNAL OF GEOMETRY AND PHYSICS, 107. pp. 149-161. ISSN 0393-0440, 1879-1662
Full text not available from this repository. (Request a copy)Abstract
Vaisman manifolds are strongly related to Kahler and Sasaki geometry. In this paper we introduce toric Vaisman structures and show that this relationship still holds in the toric context. It is known that the so-called minimal covering of a Vaisman manifold is the Riemannian cone over a Sasaki manifold. We show that if a complete Vaisman manifold is toric, then the associated Sasaki manifold is also toric. Conversely, a toric complete Sasaki manifold, whose Kahler cone is equipped with an appropriate compatible action, gives rise to a toric Vaisman manifold. In the special case of a strongly regular compact Vaisman manifold, we show that it is toric if and only if the corresponding Kahler quotient is toric. (C) 2016 Elsevier B.V. All rights reserved.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | SASAKI-EINSTEIN MANIFOLDS; KAHLER GEOMETRY; VARIETIES; REDUCTION; ORBIFOLDS; METRICS; Vaisman manifold; Toric manifold; Sasaki structure; Twisted Hamiltonian action; Locally conformally Kahler manifold |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 05 Apr 2019 08:39 |
| Last Modified: | 05 Apr 2019 08:39 |
| URI: | https://pred.uni-regensburg.de/id/eprint/3446 |
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