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.
The sixteen classes of almost Hermitian manifolds and their linear invariants
2 Pith papers cite this work. Polarity classification is still indexing.
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The paper classifies all totally geodesic Lagrangian submanifolds and all homogeneous Lagrangian submanifolds of the nearly Kähler manifold F_{1,2}(ℂ³) via Cartan's method.
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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.
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Lagrangian submanifolds of the nearly K\"ahler full flag manifold $F_{1,2}(\mathbb{C}^3)$
The paper classifies all totally geodesic Lagrangian submanifolds and all homogeneous Lagrangian submanifolds of the nearly Kähler manifold F_{1,2}(ℂ³) via Cartan's method.