Locally conformally Kähler structures on four-dimensional solvable Lie algebras-Reference-Cited by-同舟云学术

Locally conformally Kähler structures on four-dimensional solvable Lie algebras

Published:2019-11-11 Issue:1 Volume:7 Page:1-35
ISSN:2300-7443
Container-title:Complex Manifolds
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Author:

Angella Daniele¹,Origlia Marcos²

Affiliation:

1. Dipartimento di Matematica e Informatica “Ulisse Dini”, Università di Firenze, via Morgagni 67/A, 50134Firenze, Italy, E-mail: daniele.angella@gmail.com

2. KU Leuven Kulak Campus Kortrijk, E. Sabbelaan 53, BE-8500Kortrijk, Belgium; and FaMAF-CIEM, Universidad Nacional de Córdoba, 5000Córdoba, Argentina, E-mail: marcosmiguel.origlia@kuleuven.be

Abstract

AbstractWe classify and investigate locally conformally Kähler structures on four-dimensional solvable Lie algebras up to linear equivalence. As an application we can produce many examples in higher dimension, here including lcK structures on Oeljeklaus-Toma manifolds, and we also give a geometric interpretation of some of the 4-dimensional structures in our classification.

Publisher

Walter de Gruyter GmbH

Subject

Geometry and Topology

Link

https://www.degruyter.com/downloadpdf/journals/coma/7/1/article-p1.xml

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