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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2026 2verdicts
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H-structures on closed manifolds are homotopy equivalent to their isometric classes via surjective metric map with lifting property, reducing to mapping spaces on parallelizable manifolds like tori, with applications to torsion energy flows.
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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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Topology of isometric classes and flows of geometric structures
H-structures on closed manifolds are homotopy equivalent to their isometric classes via surjective metric map with lifting property, reducing to mapping spaces on parallelizable manifolds like tori, with applications to torsion energy flows.