3 papers
math.DG2026
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…
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 thi…
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…