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

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