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math.DG2020
A Chern-Calabi flow on Hermitian manifolds
Xi Sisi Shen
We study an analogue of the Calabi flow in the non-Kähler setting for compact Hermitian manifolds with vanishing first Bott-Chern class. We prove a priori estimates for the evolvin…
math.DG2020
The Kähler-Ricci flow, holomorphic vector fields and Fano bundles
Xi Sisi Shen
We study the behavior of the Kähler-Ricci flow on compact manifolds developing finite-time singularities, in particular, when the flow contracts exceptional divisors or collapses t…