On the stability of harmonic maps under the homogeneous Ricci flow

Abstract

In this work we study properties of stability and non-stability of harmonic maps under the homogeneous Ricci flow.We provide examples where the stability (non-stability) is preserved under the Ricci flow and an example where the Ricci flow does not preserve the stability of an harmonic map.

Keywords

• homogeneous ricci flow
• harmonic maps
• holomorphic-horizontal maps
• flag manifolds
• 53c43
• 53c44
• 22f30
• 14m15