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arXiv 0804.0837math.DG

Integrable Isotropic Geometrical Flows and Heisenberg Ferromagnets

N. S. Serikbaev, Zh. M. Bitibaeva, K. K. Yerzhanov, R. Myrzakulov

英文摘要:

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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