Integrable Isotropic Geometrical Flows and Heisenberg Ferromagnets

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 singular...

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Bibliographic Details
Published in:arXiv.org 2008-04
Main Authors: Serikbaev, N S, Bitibaeva, Zh M, Yerzhanov, K K, Myrzakulov, R
Format: Article
Language:English
Subjects:
Ferromagnetism
Online Access:Get full text
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Summary: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 \(t=t_{0}\).
ISSN:2331-8422