Proves a J-adapted Levi-Malcev decomposition for many 2-step solvable Lie algebras, confirming the Fino-Vezzoni conjecture for unimodular cases and characterizing SKT metrics on completely solvable ones.
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Concurring Dirac structures admit concurring reductions whenever they share a common witness, with explicit constructions for such witnesses.
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A Levi-type decomposition on two-step solvable Lie algebras with a complex structure
Proves a J-adapted Levi-Malcev decomposition for many 2-step solvable Lie algebras, confirming the Fino-Vezzoni conjecture for unimodular cases and characterizing SKT metrics on completely solvable ones.
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Concurring reduction schemes for Dirac structures
Concurring Dirac structures admit concurring reductions whenever they share a common witness, with explicit constructions for such witnesses.