Author:
Freibert Marco,Swann Andrew
Abstract
AbstractWe use the shear construction to construct and classify a wide range of two-step solvable Lie groups admitting a left-invariant SKT structure. We reduce this to a specification of SKT shear data on Abelian Lie algebras, and which then is studied more deeply in different cases. We obtain classifications and structure results for $$\mathfrak {g}$$
g
almost Abelian, for derived algebra $$\mathfrak {g}'$$
g
′
of codimension 2 and not J-invariant, for $$\mathfrak {g}'$$
g
′
totally real, and for $$\mathfrak {g}'$$
g
′
of dimension at most 2. This leads to a large part of the full classification for two-step solvable SKT algebras of dimension six.
Funder
Christian-Albrechts-Universität zu Kiel
Publisher
Springer Science and Business Media LLC
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