5 papers · 1 filter
On LCK Geometry of Gauduchon Connections
Giuseppe Barbaro, Alexandra Otiman
It is not a priori clear which of the Gauduchon connections is better suited to LCK and Vaisman manifolds. We thus investigate the geometry of these connections through Einstein pr…
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 thi…
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…
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 Kähler…
Generalized almost-Kähler-Ricci solitons
Michael Albanese, Giuseppe Barbaro, Mehdi Lejmi
We generalize Kähler-Ricci solitons to the almost-Kähler setting as the zeros of Inoue's moment map \cite{MR4017922}, and show that their existence is an obstruction to the existen…