111 citations · 376 across the 46 of their papers we have counts for
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Variational structure and uniqueness of generalized Kähler-Ricci solitons
Vestislav Apostolov, Jeffrey Streets, Yury Ustinovskiy
Under broad hypotheses we derive a scalar reduction of the generalized Kähler-Ricci soliton system. We realize solutions as critical points of a functional analogous to the classic…
Weighted K-stability and coercivity with applications to extremal Kahler and Sasaki metrics
Vestislav Apostolov, Simon Jubert, Abdellah Lahdili
We show that a compact weighted extremal Kahler manifold (as defined by the third named author) has coercive weighted Mabuchi energy with respect to a maximal complex torus in the…
Generalized Kähler-Ricci flow on toric Fano varieties
Vestislav Apostolov, Jeffrey Streets, Yury Ustinovskiy
We study the generalized Kähler-Ricci flow with initial data of symplectic type, and show that this condition is preserved. In the case of a Fano background with toric symmetry, we…