Integrable Isotropic Geometrical Flows and Heisenberg Ferromagnets

2008/04/05 by Serikbaev, N. S., Bitibaeva, Zh. M., Yerzhanov, K. K. +1
#53A05 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.0804.0837

Abstract

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=t₀.

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