Locally conformally balanced metrics on almost abelian Lie algebras
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 hyperkähler structures.
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Bibliographic citation
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Locally conformally balanced metrics on almost abelian Lie algebras ; volume:8 ; number:1 ; year:2021 ; pages:196-207 ; extent:12
Complex manifolds ; 8, Heft 1 (2021), 196-207 (gesamt 12)
- Creator
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Paradiso, Fabio
- DOI
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10.1515/coma-2020-0111
- URN
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urn:nbn:de:101:1-2022111213220239582853
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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15.08.2025, 7:26 AM CEST
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Associated
- Paradiso, Fabio
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