Locally conformally Kähler structures on four-dimensional solvable Lie algebras

Daniele Angella, Marcos Origlia

Research output: Contribution to journal › Article › Research › peer-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

Angella, Daniele ; Origlia, Marcos. / Locally conformally Kähler structures on four-dimensional solvable Lie algebras. In: Complex Manifolds. 2020 ; Vol. 7, No. 1.
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Angella, D & Origlia, M 2020, 'Locally conformally Kähler structures on four-dimensional solvable Lie algebras', Complex Manifolds, vol. 7, no. 1. https://doi.org/10.1515/coma-2020-0001

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 journal › Article › Research › peer-review

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AU - Angella, Daniele

AU - Origlia, Marcos

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N2 - 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.

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.

U2 - 10.1515/coma-2020-0001

DO - 10.1515/coma-2020-0001

M3 - Article

VL - 7

JO - Complex Manifolds

JF - Complex Manifolds

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IS - 1

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Angella D, Origlia M. Locally conformally Kähler structures on four-dimensional solvable Lie algebras. Complex Manifolds. 2020 Jan;7(1). https://doi.org/10.1515/coma-2020-0001

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