Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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The Chern-Ricci Flow on Hermitian Manifolds

Tao Zheng

created by daniele on 24 Apr 2018

9 may 2018 -- 14:30

Aula 3, Dipartimento di Matematica, Torino

Seminario di Geometria Complessa/Analisi Geometrica del Dipartimento di Matematica dell'Università di Torino

Abstract.

In this talk, we will discuss the behavior of the Chern- Ricci flow (CRF) on Hermitian manifolds. The Chern-Ricci flow is an evolution equation for Hermitian metrics on complex manifolds. In particular, we investigate the Chern-Ricci flow on Inoue surfaces which are non-Kahler compact complex surfaces of type Class VII. We show that, after an initial conformal change, the flow always collapses the Inoue surface to a circle at infinite time, in the sense of Gromov-Hausdorff. Similar convergence result also holds on the Oeljeklaus-Toma manifolds, an analog of Inoue surface.

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