We study a version of the Hermitian curvature flow on compact homogeneous complex manifolds. We prove that the solution has a finite extinction time T>0 and we analyze its behavior when t→T. We also determine the invariant static metrics and we study the convergence of the normalized flow to one of them.
Hermitian Curvature Flow on Compact Homogeneous Spaces / Fabio Podestà; Francesco Panelli. - In: THE JOURNAL OF GEOMETRIC ANALYSIS. - ISSN 1050-6926. - STAMPA. - 30:(2020), pp. 4193-4210. [10.1007/s12220-019-00239-7]
Hermitian Curvature Flow on Compact Homogeneous Spaces
Fabio Podestà
;Francesco Panelli
2020
Abstract
We study a version of the Hermitian curvature flow on compact homogeneous complex manifolds. We prove that the solution has a finite extinction time T>0 and we analyze its behavior when t→T. We also determine the invariant static metrics and we study the convergence of the normalized flow to one of them.
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