3 papers
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
Calabi-Yau locally conformally Kähler manifolds
Giuseppe Barbaro, Alexandra Otiman
We study compact locally conformally Kähler (lcK) manifolds which are Calabi--Yau, in the sense that . First of all, we prove that all the known lcK manifolds which…
math.DG2025
Toric geometry of generalized Kähler-Ricci solitons
Vestislav Apostolov, Giuseppe Barbaro, Jeffrey Streets +1
We establish a local equivalence between toric steady Kähler-Ricci solitons and -type toric generalized Kähler-Ricci solitons (GKRS). Under natural global conditions we show t…