Integrable Isotropic Geometrical Flows and Heisenberg Ferromagnets

Mathematics – Differential Geometry

Scientific paper

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9 pages, Invited talk at the "Second Workshop on Nonlinearity and Geometry. Darboux Days", Bedlewo, Poland, April 13-19, 2008

Scientific paper

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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