On the stability of harmonic maps under the homogeneous Ricci flow

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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Auteurs principaux: Prado Rafaela F. do, Grama Lino
Format: article
Langue:EN
Publié: De Gruyter 2018
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Accès en ligne:https://doaj.org/article/b6fcf73549654e2c9c01b812a1e7b652
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Résumé: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.