Hermitian Curvature Flow on compact homogeneous spaces

Hermitian curvature flow on complex locally homogeneous surfaces

“…We mention that related works have been recently appeared (see e.g. [11]) and it would be interesting to analyze Ustinovkiy's flow on compact complex surfaces in the same fashion as we did in this paper.…”

A survey on locally Homogeneous almost-Hermitian spaces

“…[7,17,56,1,47,3]) and variational problems in Hermitian and almost-Hermitian geometry, in particular, geometric flows driven by Hermitian curvatures (see e.g. [52,11,57,16,40,28,45,4,5]) including convergence notions (see Section 5.3).…”