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math.CV2017★ 1 cited
Lie-Algebraic Curvature Conditions preserved by the Hermitian Curvature Flow
Yury Ustinovskiy
The purpose of this paper is to prove that the Hermitian Curvature Flow (HCF) on an Hermitian manifold preserves many natural curvature positivity conditions. Following W…
math.CV2016★ 24 cited
The Hermitian curvature flow on manifolds with non-negative Griffiths curvature
Yury Ustinovskiy
In this paper we study a particular version of the Hermitian curvature flow (HCF) over a compact complex Hermitian manifold . We prove that if the initial metric has Griff…
math.CV2013★ 15 cited
Complex geometry of moment-angle manifolds
Taras Panov, Yuri Ustinovsky, Misha Verbitsky
Moment-angle manifolds provide a wide class of examples of non-Kaehler compact complex manifolds. A complex moment-angle manifold Z is constructed via certain combinatorial data, c…