Algebraic conditions identify special Lagrangian distributions in non-Kähler Calabi-Yau manifolds; explicit examples on Iwasawa and Nakamura manifolds yield non-diffeomorphic semi-flat SYZ mirror pairs.
Michelsohn, On the existence of special metrics in complex geometry
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2026 2verdicts
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Derives characteristic class formula for LVMB bundles over toric bases and establishes obstructions plus a new example for balanced metrics, with SKT characterization on LVM manifolds.
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Non-K\"ahler Special Lagrangian submanifolds and SYZ mirror symmetry
Algebraic conditions identify special Lagrangian distributions in non-Kähler Calabi-Yau manifolds; explicit examples on Iwasawa and Nakamura manifolds yield non-diffeomorphic semi-flat SYZ mirror pairs.
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Non-K\"ahler metrics on complex manifolds of LVMB type
Derives characteristic class formula for LVMB bundles over toric bases and establishes obstructions plus a new example for balanced metrics, with SKT characterization on LVM manifolds.