Yury Ustinovskiy

activity

20132025

most citedThe Hermitian curvature flow on manifolds with non-negative Griffiths curvature

24 citations · 69 across the 15 of their papers we have counts for

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Showing 2017Show all

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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 $(M, g, J)$ preserves many natural curvature positivity conditions. Following W…

math.DG2017★ 5 cited

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…