Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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Metrics of constant Chern scalar curvature and a Chern-Calabi flow

Xi Sisi Shen

created by raffero on 15 Jan 2022
modified on 10 Feb 2022

22 feb 2022 -- 16:00

Differential Geometry Seminar Torino (online)

Abstract.

We discuss the existence problem of constant Chern scalar curvature metrics on a compact complex manifold. We prove a priori estimates for these metrics conditional on an upper bound on the entropy, extending a recent result by Chen-Cheng in the Kähler setting. In addition, we show how these estimates can be used to prove a convergence result for a Hermitian analogue of the Calabi flow on compact complex manifolds with vanishing first Bott-Chern class.

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