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arxiv: 0804.0837 · v1 · submitted 2008-04-05 · 🧮 math.DG

Integrable Isotropic Geometrical Flows and Heisenberg Ferromagnets

classification 🧮 math.DG
keywords flowsintegrableferromagnetsgeometricalheisenbergisotropicconsideredcurvature
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Geometrical flows (GF) play an important role in modern mathematics and physics. In this letter we have considered some integrable isotropic GF -- Ricci flows (RF) and mean curvature flows (MCF) -- which are related with integrable Heisenberg ferromagnets. In 2+1 dimensions, these GF have a singularity at $t=t_{0}$.

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