3 papers
math.DG2026
Formal structure of scalar curvature in generalized Kähler geometry
Vestislav Apostolov, Jeffrey Streets, Yury Ustinovskiy
Building on works of Boulanger and Goto, we show that Goto's scalar curvature is the moment map for an action of generalized Hamiltonian automorphisms of the associated Courant alg…
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…
math.DG2024
The generalized Kähler Calabi-Yau problem
Vestislav Apostolov, Xin Fu, Jeffrey Streets +1
We formulate an extension of the Calabi conjecture to the setting of generalized Kähler geometry. We show a transgression formula for the Bismut Ricci curvature in this setting, w…