Locally conformally balanced metrics on almost abelian Lie algebras

Autor:	Paradiso, Fabio
Rok vydání:	2021
Předmět:	Mathematics - Differential Geometry 53C15 53C30 53C55
Druh dokumentu:	Working Paper
Popis:	We study locally conformally balanced metrics on almost abelian Lie algebras, namely solvable Lie algebras admitting an abelian ideal of codimension one, providing characterizations in every dimension. Moreover, we classify six-dimensional almost abelian Lie algebras admitting locally conformally balanced metrics and study some compatibility results between different types of special Hermitian metrics on almost abelian Lie groups and their compact quotients. We end by classifying almost abelian Lie algebras admitting locally conformally hyperk\"ahler structures. Comment: 12 pages, to appear in Complex Manifolds
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2101.05683 Zobrazit plný text záznamu View this record from Arxiv