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arxiv: 1701.05396 · v2 · pith:PQGCFBZRnew · submitted 2017-01-19 · 🧮 math.DG

On the stability of harmonic maps under the homogeneous Ricci flow

classification 🧮 math.DG
keywords flowriccistabilityharmonicunderhomogeneousmapsnon-stability
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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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