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Two-step solvable SKT shears

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We 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 g almost Abelian, for derived algebra g' of codimension 2 and not J-invariant, for g' totally real, and for 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.

TidsskriftMathematische Zeitschrift
Sider (fra-til)1703-1739
Antal sider37
StatusUdgivet - dec. 2021

Bibliografisk note

Funding Information:
The first author was partly supported by a Forschungsstipendium (FR 3473/2-1) from the Deutsche Forschungsgemeinschaft (DFG).

Publisher Copyright:
© 2021, The Author(s).

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