Hermitian Curvature Flow on compact homogeneous spaces

Abstract

We study a version of the Hermitian curvature flow on compact homogeneous complex manifolds. We prove that the solution has a finite exstinction time $T>0$ and we analyze its behaviour when $t\to T$. We also determine the invariant static metrics and we study the convergence of the normalized flow to one of them.

References in corpus (1)

• Hermitian curvature flow on complex homogeneous manifolds