3 papers
math.DG2026
Pluriclosed 3-folds with vanishing Bismut Ricci form: General theory in the quasi-regular case
Vestislav Apostolov, Abdellah Lahdili, Kuan-Hui Lee
We study compact complex -dimensional non-Kähler Bismut Ricci flat pluriclosed Hermitian manifolds (BHE) via their dimensional reduction to a special Kähler geometry in comple…
math.DG2026
Rigidity results for non-Kähler Calabi-Yau geometries on threefolds
Vestislav Apostolov, Giuseppe Barbaro, Kuan-Hui Lee +1
We derive a canonical symmetry reduction associated to a compact non-Kähler Bismut-Hermitian-Einstein manifold. In real dimension , the transverse geometry is conformally Kähl…
math.DG2025
The stability of non-Kähler Calabi-Yau metrics
Kuan-Hui Lee
Non Kähler Calabi Yau theory is a newly developed subject and it arises naturally in mathematical physics and generalized geometry. The relevant geometrics are pluriclosed metrics…