The algebraic structure of geometric flows in two dimensions

@inproceedings{Bakas2005TheAS,
  title={The algebraic structure of geometric flows in two dimensions},
  author={Ioannis Bakas},
  year={2005}
}
There is a common description of different intrinsic geometric flows in two dimensions using Toda field equations associated to continual Lie algebras that incorpo- rate the deformation variable t into their system. The Ricci flow admits zero curvature formulation in terms of an infinite dimensional algebra with Cartan operator @/@t. Like- wise, the Calabi flow arises as Toda field equation associated to a supercontinual algebra with odd Cartan operator @/@µ i µ@/@t. Thus, taking the square… CONTINUE READING

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