A survey on locally Homogeneous almost-Hermitian spaces

Abstract

We survey the theory of locally homogeneous almost-Hermitian spaces. In particular, by using the framework of varying Lie brackets, we write formulas for the curvature of all the Gauduchon connections and we provide explicit examples of computations.

22 pages; comments are welcome

References in corpus (3)

• Immortal homogeneous Ricci flows
• Geometric flows and their solitons on homogeneous spaces
• Hermitian Curvature flow on unimodular Lie groups and static invariant metrics