5 citations · 7 across the 3 of their papers we have counts for
4 papers
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…
Classification of generalized Kähler-Ricci solitons on complex surfaces
Jeffrey Streets, Yury Ustinovskiy
Using toric geometry we give an explicit construction of the compact steady solitons for pluriclosed flow first constructed in arXiv:1802.00170. This construction also reveals that…
On the Structure of Hermitian Manifolds with Semipositive Griffiths Curvature
Yury Ustinovskiy
In this paper we establish partial structure results on the geometry of compact Hermitian manifolds of semipositive Griffiths curvature. We show that after appropriate arbitrary sm…
Hermitian curvature flow on complex homogeneous manifolds
Yury Ustinovskiy
In this paper we study a version of the Hermitian curvature flow (HCF). We focus on complex homogeneous manifolds equipped with induced metrics. We prove that this finite-dimension…