On the stability of harmonic maps under the homogeneous Ricci flow

2017/01/19 by Rafaela F. do Prado, Lino Grama, Prado, Rafaela F. do +1
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #math.DG

paper · pdf · doi:10.48550/arxiv.1701.05396

arxiv created 2017/01/20 · arxiv updated 2017/01/23

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.

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