Locally conformally Kähler structures on four-dimensional solvable Lie algebras

Daniele Angella, Marcos Origlia

Research output: Contribution to journalArticleResearchpeer-review

Abstract

We 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.
Original languageEnglish
Number of pages35
JournalComplex Manifolds
Volume7
Issue number1
DOIs
Publication statusPublished - Jan 2020
Externally publishedYes

Cite this

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abstract = "We classify and investigate locally conformally K{\"a}hler 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.",
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Locally conformally Kähler structures on four-dimensional solvable Lie algebras. / Angella, Daniele; Origlia, Marcos.

In: Complex Manifolds, Vol. 7, No. 1, 01.2020.

Research output: Contribution to journalArticleResearchpeer-review

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AU - Origlia, Marcos

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AB - We 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.

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M3 - Article

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