Locally conformally balanced metrics on almost abelian Lie algebras

Fabio Paradiso

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arXiv · 2101.05683

Locally conformally balanced metrics on almost abelian Lie algebras

Fabio Paradiso

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Abstract

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.

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BibTeX RIS

Fabio Paradiso. 2021-01-14. Locally conformally balanced metrics on almost abelian Lie algebras. https://arxiv.org/abs/2101.05683

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