ЭБ Коллекция:https://elib.bsu.by:443/handle/123456789/1882112026-04-21T13:15:03Z2026-04-21T13:15:03ZLEFT-INVARIANT METRIC f-STRUCTURES ON THREE-DIMENSIONAL SOLVABLE LIE GROUPSBalashchenko, V.V.Kunitsa, V.N.https://elib.bsu.by:443/handle/123456789/3378882025-12-02T03:49:51Z2025-01-01T00:00:00ZЗаглавие документа: LEFT-INVARIANT METRIC f-STRUCTURES ON THREE-DIMENSIONAL SOLVABLE LIE GROUPS
Авторы: Balashchenko, V.V.; Kunitsa, V.N.
Аннотация: In the paper, we investigate three-dimensional solvable Lie groups from the point of view of the generalized Hermitian geometry. The corresponding three-dimensional solvable Lie algebras were firstly classified by G. M. Mubarakzyanov in 1963. Using the classification in somewhat different notations, we construct basic left-invariant metric f-structures of rank 2 on all three-dimensional solvable Lie groups equipped with the standard left-invariant Riemannian metric. It was proved that all the considered f-structures belong to one or several classes of generalized almost Hermitian structures. As a result, it gives the opportunity to present new examples of left-invariant Killling, nearly Kähler, generalized nearly Kähler and Hermitian f-structures on solvable Lie groups.2025-01-01T00:00:00Z