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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math.DG 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Affirmative resolution of Yau's problem: small mass implies bilipschitz diffeomorphism to R^3 for 3-manifolds with nonnegative scalar curvature and L^2 curvature bounded by 1.
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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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On $3$-manifolds with small mass and $L^2$-curvature
Affirmative resolution of Yau's problem: small mass implies bilipschitz diffeomorphism to R^3 for 3-manifolds with nonnegative scalar curvature and L^2 curvature bounded by 1.