Integrable Isotropic Geometrical Flows and Heisenberg Ferromagnets

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

Integrable Isotropic Geometrical Flows and Heisenberg Ferromagnets

Differential Geometry 2008-04-08 v1

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

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 $t=t_{0}$ .

Keywords

geometric flows geodesic flow

Cite

@article{arxiv.0804.0837,
  title  = {Integrable Isotropic Geometrical Flows and Heisenberg Ferromagnets},
  author = {N. S. Serikbaev and Zh. M. Bitibaeva and K. K. Yerzhanov and R. Myrzakulov},
  journal= {arXiv preprint arXiv:0804.0837},
  year   = {2008}
}

Comments

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

Integrable Isotropic Geometrical Flows and Heisenberg Ferromagnets

Abstract

Keywords

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