Locally conformally Kähler structures on four-dimensional solvable Lie algebras

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 interpret...

Description complète

Enregistré dans:
Détails bibliographiques
Auteurs principaux: Angella Daniele, Origlia Marcos
Format: article
Langue:EN
Publié: De Gruyter 2019
Sujets:
Accès en ligne:https://doaj.org/article/4acd3a9a9ba24ea58009cf441fac80a1
Tags: Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
Description
Résumé: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.